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Finding the Third Proportional to 293,377.50 and 679,171.50

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Solution

The third proportional to 293,377.50 and 679,171.50 is: 1,572,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,377.50 : 679,171.50 = 679,171.50 : x
  2. Step 2: Convert to fraction form
    293,377.50/679,171.50 = 679,171.50/x
  3. Step 3: Cross multiply
    293,377.50x = 679,171.50 × 679,171.50
  4. Step 4: Simplify right side
    293,377.50x = 461,273,926,412.25
  5. Step 5: Solve for x
    x = 461,273,926,412.25/293,377.50
  6. Step 6: Final answer
    x = 1,572,288.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.