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Finding the Third Proportional to 316,006 and 676,298

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Solution

The third proportional to 316,006 and 676,298 is: 1,447,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,006 : 676,298 = 676,298 : x
  2. Step 2: Convert to fraction form
    316,006/676,298 = 676,298/x
  3. Step 3: Cross multiply
    316,006x = 676,298 × 676,298
  4. Step 4: Simplify right side
    316,006x = 457,378,984,804
  5. Step 5: Solve for x
    x = 457,378,984,804/316,006
  6. Step 6: Final answer
    x = 1,447,374.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.