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Finding the Third Proportional to 468,640.69 and 709,534.69

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Solution

The third proportional to 468,640.69 and 709,534.69 is: 1,074,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,640.69 : 709,534.69 = 709,534.69 : x
  2. Step 2: Convert to fraction form
    468,640.69/709,534.69 = 709,534.69/x
  3. Step 3: Cross multiply
    468,640.69x = 709,534.69 × 709,534.69
  4. Step 4: Simplify right side
    468,640.69x = 503,439,472,765.72
  5. Step 5: Solve for x
    x = 503,439,472,765.72/468,640.69
  6. Step 6: Final answer
    x = 1,074,254.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.