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Finding the Third Proportional to 344,782 and 730,612

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Solution

The third proportional to 344,782 and 730,612 is: 1,548,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,782 : 730,612 = 730,612 : x
  2. Step 2: Convert to fraction form
    344,782/730,612 = 730,612/x
  3. Step 3: Cross multiply
    344,782x = 730,612 × 730,612
  4. Step 4: Simplify right side
    344,782x = 533,793,894,544
  5. Step 5: Solve for x
    x = 533,793,894,544/344,782
  6. Step 6: Final answer
    x = 1,548,206.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.