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Finding the Third Proportional to 532,058 and 717,843

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Solution

The third proportional to 532,058 and 717,843 is: 968,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,058 : 717,843 = 717,843 : x
  2. Step 2: Convert to fraction form
    532,058/717,843 = 717,843/x
  3. Step 3: Cross multiply
    532,058x = 717,843 × 717,843
  4. Step 4: Simplify right side
    532,058x = 515,298,572,649
  5. Step 5: Solve for x
    x = 515,298,572,649/532,058
  6. Step 6: Final answer
    x = 968,500.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.