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Finding the Third Proportional to 474,867.56 and 679,015.13

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Solution

The third proportional to 474,867.56 and 679,015.13 is: 970,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,867.56 : 679,015.13 = 679,015.13 : x
  2. Step 2: Convert to fraction form
    474,867.56/679,015.13 = 679,015.13/x
  3. Step 3: Cross multiply
    474,867.56x = 679,015.13 × 679,015.13
  4. Step 4: Simplify right side
    474,867.56x = 461,061,539,978.77
  5. Step 5: Solve for x
    x = 461,061,539,978.77/474,867.56
  6. Step 6: Final answer
    x = 970,926.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.