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Finding the Third Proportional to 344,520 and 738,864

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Solution

The third proportional to 344,520 and 738,864 is: 1,584,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,520 : 738,864 = 738,864 : x
  2. Step 2: Convert to fraction form
    344,520/738,864 = 738,864/x
  3. Step 3: Cross multiply
    344,520x = 738,864 × 738,864
  4. Step 4: Simplify right side
    344,520x = 545,920,010,496
  5. Step 5: Solve for x
    x = 545,920,010,496/344,520
  6. Step 6: Final answer
    x = 1,584,581.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.