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Finding the Third Proportional to 362,880 and 564,192

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Solution

The third proportional to 362,880 and 564,192 is: 877,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,880 : 564,192 = 564,192 : x
  2. Step 2: Convert to fraction form
    362,880/564,192 = 564,192/x
  3. Step 3: Cross multiply
    362,880x = 564,192 × 564,192
  4. Step 4: Simplify right side
    362,880x = 318,312,612,864
  5. Step 5: Solve for x
    x = 318,312,612,864/362,880
  6. Step 6: Final answer
    x = 877,184.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.