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Finding the Third Proportional to 316,086 and 746,151

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Solution

The third proportional to 316,086 and 746,151 is: 1,761,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,086 : 746,151 = 746,151 : x
  2. Step 2: Convert to fraction form
    316,086/746,151 = 746,151/x
  3. Step 3: Cross multiply
    316,086x = 746,151 × 746,151
  4. Step 4: Simplify right side
    316,086x = 556,741,314,801
  5. Step 5: Solve for x
    x = 556,741,314,801/316,086
  6. Step 6: Final answer
    x = 1,761,360.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.