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Finding the Third Proportional to 262,108.50 and 573,280.13

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Solution

The third proportional to 262,108.50 and 573,280.13 is: 1,253,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,108.50 : 573,280.13 = 573,280.13 : x
  2. Step 2: Convert to fraction form
    262,108.50/573,280.13 = 573,280.13/x
  3. Step 3: Cross multiply
    262,108.50x = 573,280.13 × 573,280.13
  4. Step 4: Simplify right side
    262,108.50x = 328,650,101,720.02
  5. Step 5: Solve for x
    x = 328,650,101,720.02/262,108.50
  6. Step 6: Final answer
    x = 1,253,870.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.