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Finding the Third Proportional to 496,999.13 and 749,641.50

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Solution

The third proportional to 496,999.13 and 749,641.50 is: 1,130,711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,999.13 : 749,641.50 = 749,641.50 : x
  2. Step 2: Convert to fraction form
    496,999.13/749,641.50 = 749,641.50/x
  3. Step 3: Cross multiply
    496,999.13x = 749,641.50 × 749,641.50
  4. Step 4: Simplify right side
    496,999.13x = 561,962,378,522.25
  5. Step 5: Solve for x
    x = 561,962,378,522.25/496,999.13
  6. Step 6: Final answer
    x = 1,130,711.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.