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Finding the Third Proportional to 472,761 and 707,469.75

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Solution

The third proportional to 472,761 and 707,469.75 is: 1,058,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,761 : 707,469.75 = 707,469.75 : x
  2. Step 2: Convert to fraction form
    472,761/707,469.75 = 707,469.75/x
  3. Step 3: Cross multiply
    472,761x = 707,469.75 × 707,469.75
  4. Step 4: Simplify right side
    472,761x = 500,513,447,165.06
  5. Step 5: Solve for x
    x = 500,513,447,165.06/472,761
  6. Step 6: Final answer
    x = 1,058,702.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.