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Finding the Third Proportional to 266,077.41 and 423,586.97

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Solution

The third proportional to 266,077.41 and 423,586.97 is: 674,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,077.41 : 423,586.97 = 423,586.97 : x
  2. Step 2: Convert to fraction form
    266,077.41/423,586.97 = 423,586.97/x
  3. Step 3: Cross multiply
    266,077.41x = 423,586.97 × 423,586.97
  4. Step 4: Simplify right side
    266,077.41x = 179,425,920,094.81
  5. Step 5: Solve for x
    x = 179,425,920,094.81/266,077.41
  6. Step 6: Final answer
    x = 674,337.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.