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Finding the Third Proportional to 394,776 and 564,548

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Solution

The third proportional to 394,776 and 564,548 is: 807,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,776 : 564,548 = 564,548 : x
  2. Step 2: Convert to fraction form
    394,776/564,548 = 564,548/x
  3. Step 3: Cross multiply
    394,776x = 564,548 × 564,548
  4. Step 4: Simplify right side
    394,776x = 318,714,444,304
  5. Step 5: Solve for x
    x = 318,714,444,304/394,776
  6. Step 6: Final answer
    x = 807,329.84

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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.