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Finding the Third Proportional to 353,856 and 497,664

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Solution

The third proportional to 353,856 and 497,664 is: 699,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,856 : 497,664 = 497,664 : x
  2. Step 2: Convert to fraction form
    353,856/497,664 = 497,664/x
  3. Step 3: Cross multiply
    353,856x = 497,664 × 497,664
  4. Step 4: Simplify right side
    353,856x = 247,669,456,896
  5. Step 5: Solve for x
    x = 247,669,456,896/353,856
  6. Step 6: Final answer
    x = 699,915.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.