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Finding the Third Proportional to 394,984 and 564,432

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Solution

The third proportional to 394,984 and 564,432 is: 806,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,984 : 564,432 = 564,432 : x
  2. Step 2: Convert to fraction form
    394,984/564,432 = 564,432/x
  3. Step 3: Cross multiply
    394,984x = 564,432 × 564,432
  4. Step 4: Simplify right side
    394,984x = 318,583,482,624
  5. Step 5: Solve for x
    x = 318,583,482,624/394,984
  6. Step 6: Final answer
    x = 806,573.13

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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.