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Finding the Third Proportional to 252,260 and 538,792

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Solution

The third proportional to 252,260 and 538,792 is: 1,150,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,260 : 538,792 = 538,792 : x
  2. Step 2: Convert to fraction form
    252,260/538,792 = 538,792/x
  3. Step 3: Cross multiply
    252,260x = 538,792 × 538,792
  4. Step 4: Simplify right side
    252,260x = 290,296,819,264
  5. Step 5: Solve for x
    x = 290,296,819,264/252,260
  6. Step 6: Final answer
    x = 1,150,784.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.