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Finding the Third Proportional to 468,269 and 700,525

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Solution

The third proportional to 468,269 and 700,525 is: 1,047,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,269 : 700,525 = 700,525 : x
  2. Step 2: Convert to fraction form
    468,269/700,525 = 700,525/x
  3. Step 3: Cross multiply
    468,269x = 700,525 × 700,525
  4. Step 4: Simplify right side
    468,269x = 490,735,275,625
  5. Step 5: Solve for x
    x = 490,735,275,625/468,269
  6. Step 6: Final answer
    x = 1,047,977.29

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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.