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Finding the Third Proportional to 348,732 and 739,312

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Solution

The third proportional to 348,732 and 739,312 is: 1,567,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,732 : 739,312 = 739,312 : x
  2. Step 2: Convert to fraction form
    348,732/739,312 = 739,312/x
  3. Step 3: Cross multiply
    348,732x = 739,312 × 739,312
  4. Step 4: Simplify right side
    348,732x = 546,582,233,344
  5. Step 5: Solve for x
    x = 546,582,233,344/348,732
  6. Step 6: Final answer
    x = 1,567,341.78

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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.