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Finding the Third Proportional to 564,826 and 880,584

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Solution

The third proportional to 564,826 and 880,584 is: 1,372,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,826 : 880,584 = 880,584 : x
  2. Step 2: Convert to fraction form
    564,826/880,584 = 880,584/x
  3. Step 3: Cross multiply
    564,826x = 880,584 × 880,584
  4. Step 4: Simplify right side
    564,826x = 775,428,181,056
  5. Step 5: Solve for x
    x = 775,428,181,056/564,826
  6. Step 6: Final answer
    x = 1,372,862.05

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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.