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Finding the Third Proportional to 432,714.66 and 718,201.69

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Solution

The third proportional to 432,714.66 and 718,201.69 is: 1,192,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,714.66 : 718,201.69 = 718,201.69 : x
  2. Step 2: Convert to fraction form
    432,714.66/718,201.69 = 718,201.69/x
  3. Step 3: Cross multiply
    432,714.66x = 718,201.69 × 718,201.69
  4. Step 4: Simplify right side
    432,714.66x = 515,813,663,927.85
  5. Step 5: Solve for x
    x = 515,813,663,927.85/432,714.66
  6. Step 6: Final answer
    x = 1,192,041.12

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.