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Finding the Third Proportional to 319,677 and 532,719

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Solution

The third proportional to 319,677 and 532,719 is: 887,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,677 : 532,719 = 532,719 : x
  2. Step 2: Convert to fraction form
    319,677/532,719 = 532,719/x
  3. Step 3: Cross multiply
    319,677x = 532,719 × 532,719
  4. Step 4: Simplify right side
    319,677x = 283,789,532,961
  5. Step 5: Solve for x
    x = 283,789,532,961/319,677
  6. Step 6: Final answer
    x = 887,738.35

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.