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Finding the Third Proportional to 317,967 and 691,153.50

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Solution

The third proportional to 317,967 and 691,153.50 is: 1,502,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,967 : 691,153.50 = 691,153.50 : x
  2. Step 2: Convert to fraction form
    317,967/691,153.50 = 691,153.50/x
  3. Step 3: Cross multiply
    317,967x = 691,153.50 × 691,153.50
  4. Step 4: Simplify right side
    317,967x = 477,693,160,562.25
  5. Step 5: Solve for x
    x = 477,693,160,562.25/317,967
  6. Step 6: Final answer
    x = 1,502,335.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.