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Finding the Third Proportional to 386,733 and 597,597

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Solution

The third proportional to 386,733 and 597,597 is: 923,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,733 : 597,597 = 597,597 : x
  2. Step 2: Convert to fraction form
    386,733/597,597 = 597,597/x
  3. Step 3: Cross multiply
    386,733x = 597,597 × 597,597
  4. Step 4: Simplify right side
    386,733x = 357,122,174,409
  5. Step 5: Solve for x
    x = 357,122,174,409/386,733
  6. Step 6: Final answer
    x = 923,433.41

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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.