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Finding the Third Proportional to 432,750 and 665,577

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Solution

The third proportional to 432,750 and 665,577 is: 1,023,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,750 : 665,577 = 665,577 : x
  2. Step 2: Convert to fraction form
    432,750/665,577 = 665,577/x
  3. Step 3: Cross multiply
    432,750x = 665,577 × 665,577
  4. Step 4: Simplify right side
    432,750x = 442,992,742,929
  5. Step 5: Solve for x
    x = 442,992,742,929/432,750
  6. Step 6: Final answer
    x = 1,023,668.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.