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Finding the Third Proportional to 252,428 and 538,534

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Solution

The third proportional to 252,428 and 538,534 is: 1,148,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,428 : 538,534 = 538,534 : x
  2. Step 2: Convert to fraction form
    252,428/538,534 = 538,534/x
  3. Step 3: Cross multiply
    252,428x = 538,534 × 538,534
  4. Step 4: Simplify right side
    252,428x = 290,018,869,156
  5. Step 5: Solve for x
    x = 290,018,869,156/252,428
  6. Step 6: Final answer
    x = 1,148,917.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.