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Finding the Third Proportional to 330,448 and 467,160

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Solution

The third proportional to 330,448 and 467,160 is: 660,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,448 : 467,160 = 467,160 : x
  2. Step 2: Convert to fraction form
    330,448/467,160 = 467,160/x
  3. Step 3: Cross multiply
    330,448x = 467,160 × 467,160
  4. Step 4: Simplify right side
    330,448x = 218,238,465,600
  5. Step 5: Solve for x
    x = 218,238,465,600/330,448
  6. Step 6: Final answer
    x = 660,432.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.