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Finding the Third Proportional to 615,285 and 944,475

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Solution

The third proportional to 615,285 and 944,475 is: 1,449,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,285 : 944,475 = 944,475 : x
  2. Step 2: Convert to fraction form
    615,285/944,475 = 944,475/x
  3. Step 3: Cross multiply
    615,285x = 944,475 × 944,475
  4. Step 4: Simplify right side
    615,285x = 892,033,025,625
  5. Step 5: Solve for x
    x = 892,033,025,625/615,285
  6. Step 6: Final answer
    x = 1,449,788.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.