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Finding the Third Proportional to 262,730 and 416,087

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Solution

The third proportional to 262,730 and 416,087 is: 658,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,730 : 416,087 = 416,087 : x
  2. Step 2: Convert to fraction form
    262,730/416,087 = 416,087/x
  3. Step 3: Cross multiply
    262,730x = 416,087 × 416,087
  4. Step 4: Simplify right side
    262,730x = 173,128,391,569
  5. Step 5: Solve for x
    x = 173,128,391,569/262,730
  6. Step 6: Final answer
    x = 658,959.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.