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Finding the Third Proportional to 423,252 and 655,632

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Solution

The third proportional to 423,252 and 655,632 is: 1,015,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,252 : 655,632 = 655,632 : x
  2. Step 2: Convert to fraction form
    423,252/655,632 = 655,632/x
  3. Step 3: Cross multiply
    423,252x = 655,632 × 655,632
  4. Step 4: Simplify right side
    423,252x = 429,853,319,424
  5. Step 5: Solve for x
    x = 429,853,319,424/423,252
  6. Step 6: Final answer
    x = 1,015,596.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.