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Finding the Third Proportional to 252,430 and 538,538

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Solution

The third proportional to 252,430 and 538,538 is: 1,148,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,430 : 538,538 = 538,538 : x
  2. Step 2: Convert to fraction form
    252,430/538,538 = 538,538/x
  3. Step 3: Cross multiply
    252,430x = 538,538 × 538,538
  4. Step 4: Simplify right side
    252,430x = 290,023,177,444
  5. Step 5: Solve for x
    x = 290,023,177,444/252,430
  6. Step 6: Final answer
    x = 1,148,925.16

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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.