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Finding the Third Proportional to 406,976 and 598,287

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Solution

The third proportional to 406,976 and 598,287 is: 879,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,976 : 598,287 = 598,287 : x
  2. Step 2: Convert to fraction form
    406,976/598,287 = 598,287/x
  3. Step 3: Cross multiply
    406,976x = 598,287 × 598,287
  4. Step 4: Simplify right side
    406,976x = 357,947,334,369
  5. Step 5: Solve for x
    x = 357,947,334,369/406,976
  6. Step 6: Final answer
    x = 879,529.34

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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.