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Finding the Third Proportional to 350,359 and 534,287

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Solution

The third proportional to 350,359 and 534,287 is: 814,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,359 : 534,287 = 534,287 : x
  2. Step 2: Convert to fraction form
    350,359/534,287 = 534,287/x
  3. Step 3: Cross multiply
    350,359x = 534,287 × 534,287
  4. Step 4: Simplify right side
    350,359x = 285,462,598,369
  5. Step 5: Solve for x
    x = 285,462,598,369/350,359
  6. Step 6: Final answer
    x = 814,771.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.