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Finding the Third Proportional to 502,480 and 682,330

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Solution

The third proportional to 502,480 and 682,330 is: 926,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,480 : 682,330 = 682,330 : x
  2. Step 2: Convert to fraction form
    502,480/682,330 = 682,330/x
  3. Step 3: Cross multiply
    502,480x = 682,330 × 682,330
  4. Step 4: Simplify right side
    502,480x = 465,574,228,900
  5. Step 5: Solve for x
    x = 465,574,228,900/502,480
  6. Step 6: Final answer
    x = 926,552.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.