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Finding the Third Proportional to 472,759 and 709,622

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Solution

The third proportional to 472,759 and 709,622 is: 1,065,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,759 : 709,622 = 709,622 : x
  2. Step 2: Convert to fraction form
    472,759/709,622 = 709,622/x
  3. Step 3: Cross multiply
    472,759x = 709,622 × 709,622
  4. Step 4: Simplify right side
    472,759x = 503,563,382,884
  5. Step 5: Solve for x
    x = 503,563,382,884/472,759
  6. Step 6: Final answer
    x = 1,065,158.74

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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.