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Finding the Third Proportional to 283,292 and 414,732

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Solution

The third proportional to 283,292 and 414,732 is: 607,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,292 : 414,732 = 414,732 : x
  2. Step 2: Convert to fraction form
    283,292/414,732 = 414,732/x
  3. Step 3: Cross multiply
    283,292x = 414,732 × 414,732
  4. Step 4: Simplify right side
    283,292x = 172,002,631,824
  5. Step 5: Solve for x
    x = 172,002,631,824/283,292
  6. Step 6: Final answer
    x = 607,156.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.