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Finding the Third Proportional to 465,374.25 and 683,277.75

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Solution

The third proportional to 465,374.25 and 683,277.75 is: 1,003,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,374.25 : 683,277.75 = 683,277.75 : x
  2. Step 2: Convert to fraction form
    465,374.25/683,277.75 = 683,277.75/x
  3. Step 3: Cross multiply
    465,374.25x = 683,277.75 × 683,277.75
  4. Step 4: Simplify right side
    465,374.25x = 466,868,483,645.06
  5. Step 5: Solve for x
    x = 466,868,483,645.06/465,374.25
  6. Step 6: Final answer
    x = 1,003,210.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.