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Finding the Third Proportional to 766,374.75 and 1,160,173.13

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Solution

The third proportional to 766,374.75 and 1,160,173.13 is: 1,756,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,374.75 : 1,160,173.13 = 1,160,173.13 : x
  2. Step 2: Convert to fraction form
    766,374.75/1,160,173.13 = 1,160,173.13/x
  3. Step 3: Cross multiply
    766,374.75x = 1,160,173.13 × 1,160,173.13
  4. Step 4: Simplify right side
    766,374.75x = 1,346,001,679,972.27
  5. Step 5: Solve for x
    x = 1,346,001,679,972.27/766,374.75
  6. Step 6: Final answer
    x = 1,756,323.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.