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Finding the Third Proportional to 332,024 and 498,376

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Solution

The third proportional to 332,024 and 498,376 is: 748,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,024 : 498,376 = 498,376 : x
  2. Step 2: Convert to fraction form
    332,024/498,376 = 498,376/x
  3. Step 3: Cross multiply
    332,024x = 498,376 × 498,376
  4. Step 4: Simplify right side
    332,024x = 248,378,637,376
  5. Step 5: Solve for x
    x = 248,378,637,376/332,024
  6. Step 6: Final answer
    x = 748,074.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.