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Finding the Third Proportional to 341,920 and 736,424

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Solution

The third proportional to 341,920 and 736,424 is: 1,586,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,920 : 736,424 = 736,424 : x
  2. Step 2: Convert to fraction form
    341,920/736,424 = 736,424/x
  3. Step 3: Cross multiply
    341,920x = 736,424 × 736,424
  4. Step 4: Simplify right side
    341,920x = 542,320,307,776
  5. Step 5: Solve for x
    x = 542,320,307,776/341,920
  6. Step 6: Final answer
    x = 1,586,102.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.