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Finding the Third Proportional to 351,478 and 544,695

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Solution

The third proportional to 351,478 and 544,695 is: 844,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,478 : 544,695 = 544,695 : x
  2. Step 2: Convert to fraction form
    351,478/544,695 = 544,695/x
  3. Step 3: Cross multiply
    351,478x = 544,695 × 544,695
  4. Step 4: Simplify right side
    351,478x = 296,692,643,025
  5. Step 5: Solve for x
    x = 296,692,643,025/351,478
  6. Step 6: Final answer
    x = 844,128.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.