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Finding the Third Proportional to 341,920 and 744,040

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Solution

The third proportional to 341,920 and 744,040 is: 1,619,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,920 : 744,040 = 744,040 : x
  2. Step 2: Convert to fraction form
    341,920/744,040 = 744,040/x
  3. Step 3: Cross multiply
    341,920x = 744,040 × 744,040
  4. Step 4: Simplify right side
    341,920x = 553,595,521,600
  5. Step 5: Solve for x
    x = 553,595,521,600/341,920
  6. Step 6: Final answer
    x = 1,619,079.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.