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Finding the Third Proportional to 564,014 and 873,760

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Solution

The third proportional to 564,014 and 873,760 is: 1,353,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,014 : 873,760 = 873,760 : x
  2. Step 2: Convert to fraction form
    564,014/873,760 = 873,760/x
  3. Step 3: Cross multiply
    564,014x = 873,760 × 873,760
  4. Step 4: Simplify right side
    564,014x = 763,456,537,600
  5. Step 5: Solve for x
    x = 763,456,537,600/564,014
  6. Step 6: Final answer
    x = 1,353,612.74

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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.