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Finding the Third Proportional to 316,494 and 682,924.50

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Solution

The third proportional to 316,494 and 682,924.50 is: 1,473,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,494 : 682,924.50 = 682,924.50 : x
  2. Step 2: Convert to fraction form
    316,494/682,924.50 = 682,924.50/x
  3. Step 3: Cross multiply
    316,494x = 682,924.50 × 682,924.50
  4. Step 4: Simplify right side
    316,494x = 466,385,872,700.25
  5. Step 5: Solve for x
    x = 466,385,872,700.25/316,494
  6. Step 6: Final answer
    x = 1,473,600.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.