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Finding the Third Proportional to 361,915 and 532,347

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Solution

The third proportional to 361,915 and 532,347 is: 783,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,915 : 532,347 = 532,347 : x
  2. Step 2: Convert to fraction form
    361,915/532,347 = 532,347/x
  3. Step 3: Cross multiply
    361,915x = 532,347 × 532,347
  4. Step 4: Simplify right side
    361,915x = 283,393,328,409
  5. Step 5: Solve for x
    x = 283,393,328,409/361,915
  6. Step 6: Final answer
    x = 783,038.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.