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Finding the Third Proportional to 316,818 and 486,313.50

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Solution

The third proportional to 316,818 and 486,313.50 is: 746,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,818 : 486,313.50 = 486,313.50 : x
  2. Step 2: Convert to fraction form
    316,818/486,313.50 = 486,313.50/x
  3. Step 3: Cross multiply
    316,818x = 486,313.50 × 486,313.50
  4. Step 4: Simplify right side
    316,818x = 236,500,820,282.25
  5. Step 5: Solve for x
    x = 236,500,820,282.25/316,818
  6. Step 6: Final answer
    x = 746,487.95

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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.