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Finding the Third Proportional to 532,056 and 717,840

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Solution

The third proportional to 532,056 and 717,840 is: 968,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,056 : 717,840 = 717,840 : x
  2. Step 2: Convert to fraction form
    532,056/717,840 = 717,840/x
  3. Step 3: Cross multiply
    532,056x = 717,840 × 717,840
  4. Step 4: Simplify right side
    532,056x = 515,294,265,600
  5. Step 5: Solve for x
    x = 515,294,265,600/532,056
  6. Step 6: Final answer
    x = 968,496.30

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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.