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Finding the Third Proportional to 348,678 and 744,957

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Solution

The third proportional to 348,678 and 744,957 is: 1,591,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,678 : 744,957 = 744,957 : x
  2. Step 2: Convert to fraction form
    348,678/744,957 = 744,957/x
  3. Step 3: Cross multiply
    348,678x = 744,957 × 744,957
  4. Step 4: Simplify right side
    348,678x = 554,960,931,849
  5. Step 5: Solve for x
    x = 554,960,931,849/348,678
  6. Step 6: Final answer
    x = 1,591,614.42

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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.