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Finding the Third Proportional to 761,472.50 and 1,142,373

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Solution

The third proportional to 761,472.50 and 1,142,373 is: 1,713,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,472.50 : 1,142,373 = 1,142,373 : x
  2. Step 2: Convert to fraction form
    761,472.50/1,142,373 = 1,142,373/x
  3. Step 3: Cross multiply
    761,472.50x = 1,142,373 × 1,142,373
  4. Step 4: Simplify right side
    761,472.50x = 1,305,016,071,129
  5. Step 5: Solve for x
    x = 1,305,016,071,129/761,472.50
  6. Step 6: Final answer
    x = 1,713,805.91

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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.