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Finding the Third Proportional to 438,358 and 944,432

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Solution

The third proportional to 438,358 and 944,432 is: 2,034,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,358 : 944,432 = 944,432 : x
  2. Step 2: Convert to fraction form
    438,358/944,432 = 944,432/x
  3. Step 3: Cross multiply
    438,358x = 944,432 × 944,432
  4. Step 4: Simplify right side
    438,358x = 891,951,802,624
  5. Step 5: Solve for x
    x = 891,951,802,624/438,358
  6. Step 6: Final answer
    x = 2,034,756.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.