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Finding the Third Proportional to 344,626 and 730,932

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Solution

The third proportional to 344,626 and 730,932 is: 1,550,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,626 : 730,932 = 730,932 : x
  2. Step 2: Convert to fraction form
    344,626/730,932 = 730,932/x
  3. Step 3: Cross multiply
    344,626x = 730,932 × 730,932
  4. Step 4: Simplify right side
    344,626x = 534,261,588,624
  5. Step 5: Solve for x
    x = 534,261,588,624/344,626
  6. Step 6: Final answer
    x = 1,550,264.89

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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.