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Finding the Third Proportional to 541,807.50 and 797,000.25

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Solution

The third proportional to 541,807.50 and 797,000.25 is: 1,172,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,807.50 : 797,000.25 = 797,000.25 : x
  2. Step 2: Convert to fraction form
    541,807.50/797,000.25 = 797,000.25/x
  3. Step 3: Cross multiply
    541,807.50x = 797,000.25 × 797,000.25
  4. Step 4: Simplify right side
    541,807.50x = 635,209,398,500.06
  5. Step 5: Solve for x
    x = 635,209,398,500.06/541,807.50
  6. Step 6: Final answer
    x = 1,172,389.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.