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Finding the Third Proportional to 394,988 and 564,438

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Solution

The third proportional to 394,988 and 564,438 is: 806,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,988 : 564,438 = 564,438 : x
  2. Step 2: Convert to fraction form
    394,988/564,438 = 564,438/x
  3. Step 3: Cross multiply
    394,988x = 564,438 × 564,438
  4. Step 4: Simplify right side
    394,988x = 318,590,255,844
  5. Step 5: Solve for x
    x = 318,590,255,844/394,988
  6. Step 6: Final answer
    x = 806,582.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.