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Finding the Third Proportional to 291,565.13 and 476,099.44

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Solution

The third proportional to 291,565.13 and 476,099.44 is: 777,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,565.13 : 476,099.44 = 476,099.44 : x
  2. Step 2: Convert to fraction form
    291,565.13/476,099.44 = 476,099.44/x
  3. Step 3: Cross multiply
    291,565.13x = 476,099.44 × 476,099.44
  4. Step 4: Simplify right side
    291,565.13x = 226,670,674,387.82
  5. Step 5: Solve for x
    x = 226,670,674,387.82/291,565.13
  6. Step 6: Final answer
    x = 777,427.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.