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Finding the Third Proportional to 360,514 and 834,564

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Solution

The third proportional to 360,514 and 834,564 is: 1,931,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,514 : 834,564 = 834,564 : x
  2. Step 2: Convert to fraction form
    360,514/834,564 = 834,564/x
  3. Step 3: Cross multiply
    360,514x = 834,564 × 834,564
  4. Step 4: Simplify right side
    360,514x = 696,497,070,096
  5. Step 5: Solve for x
    x = 696,497,070,096/360,514
  6. Step 6: Final answer
    x = 1,931,955.68

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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.