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Finding the Third Proportional to 344,552 and 730,846

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Solution

The third proportional to 344,552 and 730,846 is: 1,550,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,552 : 730,846 = 730,846 : x
  2. Step 2: Convert to fraction form
    344,552/730,846 = 730,846/x
  3. Step 3: Cross multiply
    344,552x = 730,846 × 730,846
  4. Step 4: Simplify right side
    344,552x = 534,135,875,716
  5. Step 5: Solve for x
    x = 534,135,875,716/344,552
  6. Step 6: Final answer
    x = 1,550,232.99

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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.