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Finding the Third Proportional to 332,548 and 497,510

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Solution

The third proportional to 332,548 and 497,510 is: 744,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,548 : 497,510 = 497,510 : x
  2. Step 2: Convert to fraction form
    332,548/497,510 = 497,510/x
  3. Step 3: Cross multiply
    332,548x = 497,510 × 497,510
  4. Step 4: Simplify right side
    332,548x = 247,516,200,100
  5. Step 5: Solve for x
    x = 247,516,200,100/332,548
  6. Step 6: Final answer
    x = 744,302.18

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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.