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Finding the Third Proportional to 344,029 and 729,854

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Solution

The third proportional to 344,029 and 729,854 is: 1,548,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,029 : 729,854 = 729,854 : x
  2. Step 2: Convert to fraction form
    344,029/729,854 = 729,854/x
  3. Step 3: Cross multiply
    344,029x = 729,854 × 729,854
  4. Step 4: Simplify right side
    344,029x = 532,686,861,316
  5. Step 5: Solve for x
    x = 532,686,861,316/344,029
  6. Step 6: Final answer
    x = 1,548,377.79

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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.