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Finding the Third Proportional to 496,145,809.50 and 739,381,070.25

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Solution

The third proportional to 496,145,809.50 and 739,381,070.25 is: 1,101,862,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,145,809.50 : 739,381,070.25 = 739,381,070.25 : x
  2. Step 2: Convert to fraction form
    496,145,809.50/739,381,070.25 = 739,381,070.25/x
  3. Step 3: Cross multiply
    496,145,809.50x = 739,381,070.25 × 739,381,070.25
  4. Step 4: Simplify right side
    496,145,809.50x = 546,684,367,044,035,456
  5. Step 5: Solve for x
    x = 546,684,367,044,035,456/496,145,809.50
  6. Step 6: Final answer
    x = 1,101,862,308.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.