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Finding the Third Proportional to 349,382 and 744,520

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Solution

The third proportional to 349,382 and 744,520 is: 1,586,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,382 : 744,520 = 744,520 : x
  2. Step 2: Convert to fraction form
    349,382/744,520 = 744,520/x
  3. Step 3: Cross multiply
    349,382x = 744,520 × 744,520
  4. Step 4: Simplify right side
    349,382x = 554,310,030,400
  5. Step 5: Solve for x
    x = 554,310,030,400/349,382
  6. Step 6: Final answer
    x = 1,586,544.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.