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Finding the Third Proportional to 344,380 and 542,982

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Solution

The third proportional to 344,380 and 542,982 is: 856,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,380 : 542,982 = 542,982 : x
  2. Step 2: Convert to fraction form
    344,380/542,982 = 542,982/x
  3. Step 3: Cross multiply
    344,380x = 542,982 × 542,982
  4. Step 4: Simplify right side
    344,380x = 294,829,452,324
  5. Step 5: Solve for x
    x = 294,829,452,324/344,380
  6. Step 6: Final answer
    x = 856,116.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.