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Finding the Third Proportional to 386,988 and 597,972

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Solution

The third proportional to 386,988 and 597,972 is: 923,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,988 : 597,972 = 597,972 : x
  2. Step 2: Convert to fraction form
    386,988/597,972 = 597,972/x
  3. Step 3: Cross multiply
    386,988x = 597,972 × 597,972
  4. Step 4: Simplify right side
    386,988x = 357,570,512,784
  5. Step 5: Solve for x
    x = 357,570,512,784/386,988
  6. Step 6: Final answer
    x = 923,983.46

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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.