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Finding the Third Proportional to 438,357 and 944,430

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Solution

The third proportional to 438,357 and 944,430 is: 2,034,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,357 : 944,430 = 944,430 : x
  2. Step 2: Convert to fraction form
    438,357/944,430 = 944,430/x
  3. Step 3: Cross multiply
    438,357x = 944,430 × 944,430
  4. Step 4: Simplify right side
    438,357x = 891,948,024,900
  5. Step 5: Solve for x
    x = 891,948,024,900/438,357
  6. Step 6: Final answer
    x = 2,034,752.55

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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.