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Finding the Third Proportional to 413,986 and 607,344

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Solution

The third proportional to 413,986 and 607,344 is: 891,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,986 : 607,344 = 607,344 : x
  2. Step 2: Convert to fraction form
    413,986/607,344 = 607,344/x
  3. Step 3: Cross multiply
    413,986x = 607,344 × 607,344
  4. Step 4: Simplify right side
    413,986x = 368,866,734,336
  5. Step 5: Solve for x
    x = 368,866,734,336/413,986
  6. Step 6: Final answer
    x = 891,012.58

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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.