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Finding the Third Proportional to 362,884 and 564,197

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Solution

The third proportional to 362,884 and 564,197 is: 877,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,884 : 564,197 = 564,197 : x
  2. Step 2: Convert to fraction form
    362,884/564,197 = 564,197/x
  3. Step 3: Cross multiply
    362,884x = 564,197 × 564,197
  4. Step 4: Simplify right side
    362,884x = 318,318,254,809
  5. Step 5: Solve for x
    x = 318,318,254,809/362,884
  6. Step 6: Final answer
    x = 877,190.11

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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.