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Finding the Third Proportional to 432,878 and 665,734

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Solution

The third proportional to 432,878 and 665,734 is: 1,023,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,878 : 665,734 = 665,734 : x
  2. Step 2: Convert to fraction form
    432,878/665,734 = 665,734/x
  3. Step 3: Cross multiply
    432,878x = 665,734 × 665,734
  4. Step 4: Simplify right side
    432,878x = 443,201,758,756
  5. Step 5: Solve for x
    x = 443,201,758,756/432,878
  6. Step 6: Final answer
    x = 1,023,849.12

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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.