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Finding the Third Proportional to 424,732 and 662,910

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Solution

The third proportional to 424,732 and 662,910 is: 1,034,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,732 : 662,910 = 662,910 : x
  2. Step 2: Convert to fraction form
    424,732/662,910 = 662,910/x
  3. Step 3: Cross multiply
    424,732x = 662,910 × 662,910
  4. Step 4: Simplify right side
    424,732x = 439,449,668,100
  5. Step 5: Solve for x
    x = 439,449,668,100/424,732
  6. Step 6: Final answer
    x = 1,034,651.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.