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Finding the Third Proportional to 564,576 and 802,512

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Solution

The third proportional to 564,576 and 802,512 is: 1,140,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,576 : 802,512 = 802,512 : x
  2. Step 2: Convert to fraction form
    564,576/802,512 = 802,512/x
  3. Step 3: Cross multiply
    564,576x = 802,512 × 802,512
  4. Step 4: Simplify right side
    564,576x = 644,025,510,144
  5. Step 5: Solve for x
    x = 644,025,510,144/564,576
  6. Step 6: Final answer
    x = 1,140,724.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.