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Finding the Third Proportional to 266,176.13 and 580,523.20

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Solution

The third proportional to 266,176.13 and 580,523.20 is: 1,266,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,176.13 : 580,523.20 = 580,523.20 : x
  2. Step 2: Convert to fraction form
    266,176.13/580,523.20 = 580,523.20/x
  3. Step 3: Cross multiply
    266,176.13x = 580,523.20 × 580,523.20
  4. Step 4: Simplify right side
    266,176.13x = 337,007,189,366.51
  5. Step 5: Solve for x
    x = 337,007,189,366.51/266,176.13
  6. Step 6: Final answer
    x = 1,266,106.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.