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Finding the Third Proportional to 416,326 and 658,607

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Solution

The third proportional to 416,326 and 658,607 is: 1,041,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,326 : 658,607 = 658,607 : x
  2. Step 2: Convert to fraction form
    416,326/658,607 = 658,607/x
  3. Step 3: Cross multiply
    416,326x = 658,607 × 658,607
  4. Step 4: Simplify right side
    416,326x = 433,763,180,449
  5. Step 5: Solve for x
    x = 433,763,180,449/416,326
  6. Step 6: Final answer
    x = 1,041,883.48

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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.