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Finding the Third Proportional to 386,981 and 597,959.50

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Solution

The third proportional to 386,981 and 597,959.50 is: 923,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,981 : 597,959.50 = 597,959.50 : x
  2. Step 2: Convert to fraction form
    386,981/597,959.50 = 597,959.50/x
  3. Step 3: Cross multiply
    386,981x = 597,959.50 × 597,959.50
  4. Step 4: Simplify right side
    386,981x = 357,555,563,640.25
  5. Step 5: Solve for x
    x = 357,555,563,640.25/386,981
  6. Step 6: Final answer
    x = 923,961.55

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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.