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Finding the Third Proportional to 465,693.75 and 683,208

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Solution

The third proportional to 465,693.75 and 683,208 is: 1,002,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,693.75 : 683,208 = 683,208 : x
  2. Step 2: Convert to fraction form
    465,693.75/683,208 = 683,208/x
  3. Step 3: Cross multiply
    465,693.75x = 683,208 × 683,208
  4. Step 4: Simplify right side
    465,693.75x = 466,773,171,264
  5. Step 5: Solve for x
    x = 466,773,171,264/465,693.75
  6. Step 6: Final answer
    x = 1,002,317.88

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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.