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Finding the Third Proportional to 564,827 and 880,586

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Solution

The third proportional to 564,827 and 880,586 is: 1,372,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,827 : 880,586 = 880,586 : x
  2. Step 2: Convert to fraction form
    564,827/880,586 = 880,586/x
  3. Step 3: Cross multiply
    564,827x = 880,586 × 880,586
  4. Step 4: Simplify right side
    564,827x = 775,431,703,396
  5. Step 5: Solve for x
    x = 775,431,703,396/564,827
  6. Step 6: Final answer
    x = 1,372,865.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.