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Finding the Third Proportional to 315,711 and 482,967

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Solution

The third proportional to 315,711 and 482,967 is: 738,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,711 : 482,967 = 482,967 : x
  2. Step 2: Convert to fraction form
    315,711/482,967 = 482,967/x
  3. Step 3: Cross multiply
    315,711x = 482,967 × 482,967
  4. Step 4: Simplify right side
    315,711x = 233,257,123,089
  5. Step 5: Solve for x
    x = 233,257,123,089/315,711
  6. Step 6: Final answer
    x = 738,831.16

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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.