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Finding the Third Proportional to 386,203.50 and 597,987

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Solution

The third proportional to 386,203.50 and 597,987 is: 925,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,203.50 : 597,987 = 597,987 : x
  2. Step 2: Convert to fraction form
    386,203.50/597,987 = 597,987/x
  3. Step 3: Cross multiply
    386,203.50x = 597,987 × 597,987
  4. Step 4: Simplify right side
    386,203.50x = 357,588,452,169
  5. Step 5: Solve for x
    x = 357,588,452,169/386,203.50
  6. Step 6: Final answer
    x = 925,906.81

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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.