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Finding the Third Proportional to 316,811.25 and 486,303.75

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Solution

The third proportional to 316,811.25 and 486,303.75 is: 746,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,811.25 : 486,303.75 = 486,303.75 : x
  2. Step 2: Convert to fraction form
    316,811.25/486,303.75 = 486,303.75/x
  3. Step 3: Cross multiply
    316,811.25x = 486,303.75 × 486,303.75
  4. Step 4: Simplify right side
    316,811.25x = 236,491,337,264.06
  5. Step 5: Solve for x
    x = 236,491,337,264.06/316,811.25
  6. Step 6: Final answer
    x = 746,473.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.