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Finding the Third Proportional to 429,330 and 932,406

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Solution

The third proportional to 429,330 and 932,406 is: 2,024,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,330 : 932,406 = 932,406 : x
  2. Step 2: Convert to fraction form
    429,330/932,406 = 932,406/x
  3. Step 3: Cross multiply
    429,330x = 932,406 × 932,406
  4. Step 4: Simplify right side
    429,330x = 869,380,948,836
  5. Step 5: Solve for x
    x = 869,380,948,836/429,330
  6. Step 6: Final answer
    x = 2,024,971.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.