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Finding the Third Proportional to 327,416 and 462,146

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Solution

The third proportional to 327,416 and 462,146 is: 652,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,416 : 462,146 = 462,146 : x
  2. Step 2: Convert to fraction form
    327,416/462,146 = 462,146/x
  3. Step 3: Cross multiply
    327,416x = 462,146 × 462,146
  4. Step 4: Simplify right side
    327,416x = 213,578,925,316
  5. Step 5: Solve for x
    x = 213,578,925,316/327,416
  6. Step 6: Final answer
    x = 652,316.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.