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Finding the Third Proportional to 344,624 and 730,928

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Solution

The third proportional to 344,624 and 730,928 is: 1,550,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,624 : 730,928 = 730,928 : x
  2. Step 2: Convert to fraction form
    344,624/730,928 = 730,928/x
  3. Step 3: Cross multiply
    344,624x = 730,928 × 730,928
  4. Step 4: Simplify right side
    344,624x = 534,255,741,184
  5. Step 5: Solve for x
    x = 534,255,741,184/344,624
  6. Step 6: Final answer
    x = 1,550,256.92

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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.