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Finding the Third Proportional to 315,484 and 472,738

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Solution

The third proportional to 315,484 and 472,738 is: 708,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,484 : 472,738 = 472,738 : x
  2. Step 2: Convert to fraction form
    315,484/472,738 = 472,738/x
  3. Step 3: Cross multiply
    315,484x = 472,738 × 472,738
  4. Step 4: Simplify right side
    315,484x = 223,481,216,644
  5. Step 5: Solve for x
    x = 223,481,216,644/315,484
  6. Step 6: Final answer
    x = 708,375.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.