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Finding the Third Proportional to 472,657.50 and 707,335.88

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Solution

The third proportional to 472,657.50 and 707,335.88 is: 1,058,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,657.50 : 707,335.88 = 707,335.88 : x
  2. Step 2: Convert to fraction form
    472,657.50/707,335.88 = 707,335.88/x
  3. Step 3: Cross multiply
    472,657.50x = 707,335.88 × 707,335.88
  4. Step 4: Simplify right side
    472,657.50x = 500,324,040,062.02
  5. Step 5: Solve for x
    x = 500,324,040,062.02/472,657.50
  6. Step 6: Final answer
    x = 1,058,534.01

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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.