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Finding the Third Proportional to 432,433.69 and 676,405.69

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Solution

The third proportional to 432,433.69 and 676,405.69 is: 1,058,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,433.69 : 676,405.69 = 676,405.69 : x
  2. Step 2: Convert to fraction form
    432,433.69/676,405.69 = 676,405.69/x
  3. Step 3: Cross multiply
    432,433.69x = 676,405.69 × 676,405.69
  4. Step 4: Simplify right side
    432,433.69x = 457,524,654,082.35
  5. Step 5: Solve for x
    x = 457,524,654,082.35/432,433.69
  6. Step 6: Final answer
    x = 1,058,022.69

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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.