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Finding the Third Proportional to 356,781.75 and 748,595.25

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Solution

The third proportional to 356,781.75 and 748,595.25 is: 1,570,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,781.75 : 748,595.25 = 748,595.25 : x
  2. Step 2: Convert to fraction form
    356,781.75/748,595.25 = 748,595.25/x
  3. Step 3: Cross multiply
    356,781.75x = 748,595.25 × 748,595.25
  4. Step 4: Simplify right side
    356,781.75x = 560,394,848,322.56
  5. Step 5: Solve for x
    x = 560,394,848,322.56/356,781.75
  6. Step 6: Final answer
    x = 1,570,693.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.