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Finding the Third Proportional to 344,432 and 729,838

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Solution

The third proportional to 344,432 and 729,838 is: 1,546,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,432 : 729,838 = 729,838 : x
  2. Step 2: Convert to fraction form
    344,432/729,838 = 729,838/x
  3. Step 3: Cross multiply
    344,432x = 729,838 × 729,838
  4. Step 4: Simplify right side
    344,432x = 532,663,506,244
  5. Step 5: Solve for x
    x = 532,663,506,244/344,432
  6. Step 6: Final answer
    x = 1,546,498.31

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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.