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Finding the Third Proportional to 566,001 and 769,081.50

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Solution

The third proportional to 566,001 and 769,081.50 is: 1,045,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,001 : 769,081.50 = 769,081.50 : x
  2. Step 2: Convert to fraction form
    566,001/769,081.50 = 769,081.50/x
  3. Step 3: Cross multiply
    566,001x = 769,081.50 × 769,081.50
  4. Step 4: Simplify right side
    566,001x = 591,486,353,642.25
  5. Step 5: Solve for x
    x = 591,486,353,642.25/566,001
  6. Step 6: Final answer
    x = 1,045,027.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.