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Finding the Third Proportional to 567,567 and 878,836.50

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Solution

The third proportional to 567,567 and 878,836.50 is: 1,360,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,567 : 878,836.50 = 878,836.50 : x
  2. Step 2: Convert to fraction form
    567,567/878,836.50 = 878,836.50/x
  3. Step 3: Cross multiply
    567,567x = 878,836.50 × 878,836.50
  4. Step 4: Simplify right side
    567,567x = 772,353,593,732.25
  5. Step 5: Solve for x
    x = 772,353,593,732.25/567,567
  6. Step 6: Final answer
    x = 1,360,814.84

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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.