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Finding the Third Proportional to 652,394.25 and 918,722.25

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Solution

The third proportional to 652,394.25 and 918,722.25 is: 1,293,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,394.25 : 918,722.25 = 918,722.25 : x
  2. Step 2: Convert to fraction form
    652,394.25/918,722.25 = 918,722.25/x
  3. Step 3: Cross multiply
    652,394.25x = 918,722.25 × 918,722.25
  4. Step 4: Simplify right side
    652,394.25x = 844,050,572,645.06
  5. Step 5: Solve for x
    x = 844,050,572,645.06/652,394.25
  6. Step 6: Final answer
    x = 1,293,773.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.