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Finding the Third Proportional to 322,112 and 473,696

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Solution

The third proportional to 322,112 and 473,696 is: 696,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,112 : 473,696 = 473,696 : x
  2. Step 2: Convert to fraction form
    322,112/473,696 = 473,696/x
  3. Step 3: Cross multiply
    322,112x = 473,696 × 473,696
  4. Step 4: Simplify right side
    322,112x = 224,387,900,416
  5. Step 5: Solve for x
    x = 224,387,900,416/322,112
  6. Step 6: Final answer
    x = 696,614.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.