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Finding the Third Proportional to 319,352 and 532,227

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Solution

The third proportional to 319,352 and 532,227 is: 887,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,352 : 532,227 = 532,227 : x
  2. Step 2: Convert to fraction form
    319,352/532,227 = 532,227/x
  3. Step 3: Cross multiply
    319,352x = 532,227 × 532,227
  4. Step 4: Simplify right side
    319,352x = 283,265,579,529
  5. Step 5: Solve for x
    x = 283,265,579,529/319,352
  6. Step 6: Final answer
    x = 887,001.11

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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.