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Finding the Third Proportional to 292,696 and 441,352

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Solution

The third proportional to 292,696 and 441,352 is: 665,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,696 : 441,352 = 441,352 : x
  2. Step 2: Convert to fraction form
    292,696/441,352 = 441,352/x
  3. Step 3: Cross multiply
    292,696x = 441,352 × 441,352
  4. Step 4: Simplify right side
    292,696x = 194,791,587,904
  5. Step 5: Solve for x
    x = 194,791,587,904/292,696
  6. Step 6: Final answer
    x = 665,508.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.