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Finding the Third Proportional to 315,972 and 484,517

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Solution

The third proportional to 315,972 and 484,517 is: 742,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,972 : 484,517 = 484,517 : x
  2. Step 2: Convert to fraction form
    315,972/484,517 = 484,517/x
  3. Step 3: Cross multiply
    315,972x = 484,517 × 484,517
  4. Step 4: Simplify right side
    315,972x = 234,756,723,289
  5. Step 5: Solve for x
    x = 234,756,723,289/315,972
  6. Step 6: Final answer
    x = 742,966.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.