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Finding the Third Proportional to 482,512 and 709,350

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Solution

The third proportional to 482,512 and 709,350 is: 1,042,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,512 : 709,350 = 709,350 : x
  2. Step 2: Convert to fraction form
    482,512/709,350 = 709,350/x
  3. Step 3: Cross multiply
    482,512x = 709,350 × 709,350
  4. Step 4: Simplify right side
    482,512x = 503,177,422,500
  5. Step 5: Solve for x
    x = 503,177,422,500/482,512
  6. Step 6: Final answer
    x = 1,042,828.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.