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Finding the Third Proportional to 252,969 and 538,709

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Solution

The third proportional to 252,969 and 538,709 is: 1,147,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,969 : 538,709 = 538,709 : x
  2. Step 2: Convert to fraction form
    252,969/538,709 = 538,709/x
  3. Step 3: Cross multiply
    252,969x = 538,709 × 538,709
  4. Step 4: Simplify right side
    252,969x = 290,207,386,681
  5. Step 5: Solve for x
    x = 290,207,386,681/252,969
  6. Step 6: Final answer
    x = 1,147,205.34

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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.