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Finding the Third Proportional to 467,460 and 668,408

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Solution

The third proportional to 467,460 and 668,408 is: 955,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,460 : 668,408 = 668,408 : x
  2. Step 2: Convert to fraction form
    467,460/668,408 = 668,408/x
  3. Step 3: Cross multiply
    467,460x = 668,408 × 668,408
  4. Step 4: Simplify right side
    467,460x = 446,769,254,464
  5. Step 5: Solve for x
    x = 446,769,254,464/467,460
  6. Step 6: Final answer
    x = 955,737.93

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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.