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Finding the Third Proportional to 240,934.50 and 524,755.13

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Solution

The third proportional to 240,934.50 and 524,755.13 is: 1,142,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,934.50 : 524,755.13 = 524,755.13 : x
  2. Step 2: Convert to fraction form
    240,934.50/524,755.13 = 524,755.13/x
  3. Step 3: Cross multiply
    240,934.50x = 524,755.13 × 524,755.13
  4. Step 4: Simplify right side
    240,934.50x = 275,367,941,213.77
  5. Step 5: Solve for x
    x = 275,367,941,213.77/240,934.50
  6. Step 6: Final answer
    x = 1,142,916.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.