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Finding the Third Proportional to 317,659.50 and 492,061.50

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Solution

The third proportional to 317,659.50 and 492,061.50 is: 762,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,659.50 : 492,061.50 = 492,061.50 : x
  2. Step 2: Convert to fraction form
    317,659.50/492,061.50 = 492,061.50/x
  3. Step 3: Cross multiply
    317,659.50x = 492,061.50 × 492,061.50
  4. Step 4: Simplify right side
    317,659.50x = 242,124,519,782.25
  5. Step 5: Solve for x
    x = 242,124,519,782.25/317,659.50
  6. Step 6: Final answer
    x = 762,214.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.