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Finding the Third Proportional to 345,694 and 533,292

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Solution

The third proportional to 345,694 and 533,292 is: 822,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,694 : 533,292 = 533,292 : x
  2. Step 2: Convert to fraction form
    345,694/533,292 = 533,292/x
  3. Step 3: Cross multiply
    345,694x = 533,292 × 533,292
  4. Step 4: Simplify right side
    345,694x = 284,400,357,264
  5. Step 5: Solve for x
    x = 284,400,357,264/345,694
  6. Step 6: Final answer
    x = 822,693.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.