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Finding the Third Proportional to 761,474.25 and 1,142,361

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Solution

The third proportional to 761,474.25 and 1,142,361 is: 1,713,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,474.25 : 1,142,361 = 1,142,361 : x
  2. Step 2: Convert to fraction form
    761,474.25/1,142,361 = 1,142,361/x
  3. Step 3: Cross multiply
    761,474.25x = 1,142,361 × 1,142,361
  4. Step 4: Simplify right side
    761,474.25x = 1,304,988,654,321
  5. Step 5: Solve for x
    x = 1,304,988,654,321/761,474.25
  6. Step 6: Final answer
    x = 1,713,765.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.