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Finding the Third Proportional to 432,364.50 and 687,039

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Solution

The third proportional to 432,364.50 and 687,039 is: 1,091,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,364.50 : 687,039 = 687,039 : x
  2. Step 2: Convert to fraction form
    432,364.50/687,039 = 687,039/x
  3. Step 3: Cross multiply
    432,364.50x = 687,039 × 687,039
  4. Step 4: Simplify right side
    432,364.50x = 472,022,587,521
  5. Step 5: Solve for x
    x = 472,022,587,521/432,364.50
  6. Step 6: Final answer
    x = 1,091,723.74

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.