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Finding the Third Proportional to 348,439.50 and 490,695.75

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Solution

The third proportional to 348,439.50 and 490,695.75 is: 691,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,439.50 : 490,695.75 = 490,695.75 : x
  2. Step 2: Convert to fraction form
    348,439.50/490,695.75 = 490,695.75/x
  3. Step 3: Cross multiply
    348,439.50x = 490,695.75 × 490,695.75
  4. Step 4: Simplify right side
    348,439.50x = 240,782,319,068.06
  5. Step 5: Solve for x
    x = 240,782,319,068.06/348,439.50
  6. Step 6: Final answer
    x = 691,030.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.