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Finding the Third Proportional to 319,632 and 694,560

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Solution

The third proportional to 319,632 and 694,560 is: 1,509,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,632 : 694,560 = 694,560 : x
  2. Step 2: Convert to fraction form
    319,632/694,560 = 694,560/x
  3. Step 3: Cross multiply
    319,632x = 694,560 × 694,560
  4. Step 4: Simplify right side
    319,632x = 482,413,593,600
  5. Step 5: Solve for x
    x = 482,413,593,600/319,632
  6. Step 6: Final answer
    x = 1,509,278.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.