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Finding the Third Proportional to 360,294 and 834,099

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Solution

The third proportional to 360,294 and 834,099 is: 1,930,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,294 : 834,099 = 834,099 : x
  2. Step 2: Convert to fraction form
    360,294/834,099 = 834,099/x
  3. Step 3: Cross multiply
    360,294x = 834,099 × 834,099
  4. Step 4: Simplify right side
    360,294x = 695,721,141,801
  5. Step 5: Solve for x
    x = 695,721,141,801/360,294
  6. Step 6: Final answer
    x = 1,930,981.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.