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Finding the Third Proportional to 467,464 and 668,414

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Solution

The third proportional to 467,464 and 668,414 is: 955,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,464 : 668,414 = 668,414 : x
  2. Step 2: Convert to fraction form
    467,464/668,414 = 668,414/x
  3. Step 3: Cross multiply
    467,464x = 668,414 × 668,414
  4. Step 4: Simplify right side
    467,464x = 446,777,275,396
  5. Step 5: Solve for x
    x = 446,777,275,396/467,464
  6. Step 6: Final answer
    x = 955,746.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.