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Finding the Third Proportional to 482,128 and 713,350

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Solution

The third proportional to 482,128 and 713,350 is: 1,055,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,128 : 713,350 = 713,350 : x
  2. Step 2: Convert to fraction form
    482,128/713,350 = 713,350/x
  3. Step 3: Cross multiply
    482,128x = 713,350 × 713,350
  4. Step 4: Simplify right side
    482,128x = 508,868,222,500
  5. Step 5: Solve for x
    x = 508,868,222,500/482,128
  6. Step 6: Final answer
    x = 1,055,462.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.