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Finding the Third Proportional to 316,624 and 646,167

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Solution

The third proportional to 316,624 and 646,167 is: 1,318,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,624 : 646,167 = 646,167 : x
  2. Step 2: Convert to fraction form
    316,624/646,167 = 646,167/x
  3. Step 3: Cross multiply
    316,624x = 646,167 × 646,167
  4. Step 4: Simplify right side
    316,624x = 417,531,791,889
  5. Step 5: Solve for x
    x = 417,531,791,889/316,624
  6. Step 6: Final answer
    x = 1,318,699.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.