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Finding the Third Proportional to 360,331 and 834,070

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Solution

The third proportional to 360,331 and 834,070 is: 1,930,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,331 : 834,070 = 834,070 : x
  2. Step 2: Convert to fraction form
    360,331/834,070 = 834,070/x
  3. Step 3: Cross multiply
    360,331x = 834,070 × 834,070
  4. Step 4: Simplify right side
    360,331x = 695,672,764,900
  5. Step 5: Solve for x
    x = 695,672,764,900/360,331
  6. Step 6: Final answer
    x = 1,930,649.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.