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Finding the Third Proportional to 266,254.50 and 584,145.75

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Solution

The third proportional to 266,254.50 and 584,145.75 is: 1,281,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,254.50 : 584,145.75 = 584,145.75 : x
  2. Step 2: Convert to fraction form
    266,254.50/584,145.75 = 584,145.75/x
  3. Step 3: Cross multiply
    266,254.50x = 584,145.75 × 584,145.75
  4. Step 4: Simplify right side
    266,254.50x = 341,226,257,243.06
  5. Step 5: Solve for x
    x = 341,226,257,243.06/266,254.50
  6. Step 6: Final answer
    x = 1,281,579.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.