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Finding the Third Proportional to 489,002 and 748,034

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Solution

The third proportional to 489,002 and 748,034 is: 1,144,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,002 : 748,034 = 748,034 : x
  2. Step 2: Convert to fraction form
    489,002/748,034 = 748,034/x
  3. Step 3: Cross multiply
    489,002x = 748,034 × 748,034
  4. Step 4: Simplify right side
    489,002x = 559,554,865,156
  5. Step 5: Solve for x
    x = 559,554,865,156/489,002
  6. Step 6: Final answer
    x = 1,144,279.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.