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Finding the Third Proportional to 252,025.17 and 399,264.19

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Solution

The third proportional to 252,025.17 and 399,264.19 is: 632,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,025.17 : 399,264.19 = 399,264.19 : x
  2. Step 2: Convert to fraction form
    252,025.17/399,264.19 = 399,264.19/x
  3. Step 3: Cross multiply
    252,025.17x = 399,264.19 × 399,264.19
  4. Step 4: Simplify right side
    252,025.17x = 159,411,891,420.04
  5. Step 5: Solve for x
    x = 159,411,891,420.04/252,025.17
  6. Step 6: Final answer
    x = 632,523.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.