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Finding the Third Proportional to 348,730 and 739,314

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Solution

The third proportional to 348,730 and 739,314 is: 1,567,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,730 : 739,314 = 739,314 : x
  2. Step 2: Convert to fraction form
    348,730/739,314 = 739,314/x
  3. Step 3: Cross multiply
    348,730x = 739,314 × 739,314
  4. Step 4: Simplify right side
    348,730x = 546,585,190,596
  5. Step 5: Solve for x
    x = 546,585,190,596/348,730
  6. Step 6: Final answer
    x = 1,567,359.25

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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.