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Finding the Third Proportional to 459,890.25 and 717,767.63

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Solution

The third proportional to 459,890.25 and 717,767.63 is: 1,120,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,890.25 : 717,767.63 = 717,767.63 : x
  2. Step 2: Convert to fraction form
    459,890.25/717,767.63 = 717,767.63/x
  3. Step 3: Cross multiply
    459,890.25x = 717,767.63 × 717,767.63
  4. Step 4: Simplify right side
    459,890.25x = 515,190,363,498.14
  5. Step 5: Solve for x
    x = 515,190,363,498.14/459,890.25
  6. Step 6: Final answer
    x = 1,120,246.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.