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Finding the Third Proportional to 394,916 and 564,332

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Solution

The third proportional to 394,916 and 564,332 is: 806,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,916 : 564,332 = 564,332 : x
  2. Step 2: Convert to fraction form
    394,916/564,332 = 564,332/x
  3. Step 3: Cross multiply
    394,916x = 564,332 × 564,332
  4. Step 4: Simplify right side
    394,916x = 318,470,606,224
  5. Step 5: Solve for x
    x = 318,470,606,224/394,916
  6. Step 6: Final answer
    x = 806,426.19

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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.