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Finding the Third Proportional to 434,810 and 650,216

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Solution

The third proportional to 434,810 and 650,216 is: 972,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,810 : 650,216 = 650,216 : x
  2. Step 2: Convert to fraction form
    434,810/650,216 = 650,216/x
  3. Step 3: Cross multiply
    434,810x = 650,216 × 650,216
  4. Step 4: Simplify right side
    434,810x = 422,780,846,656
  5. Step 5: Solve for x
    x = 422,780,846,656/434,810
  6. Step 6: Final answer
    x = 972,334.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.