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Finding the Third Proportional to 242,515.50 and 500,599.75

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Solution

The third proportional to 242,515.50 and 500,599.75 is: 1,033,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,515.50 : 500,599.75 = 500,599.75 : x
  2. Step 2: Convert to fraction form
    242,515.50/500,599.75 = 500,599.75/x
  3. Step 3: Cross multiply
    242,515.50x = 500,599.75 × 500,599.75
  4. Step 4: Simplify right side
    242,515.50x = 250,600,109,700.06
  5. Step 5: Solve for x
    x = 250,600,109,700.06/242,515.50
  6. Step 6: Final answer
    x = 1,033,336.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.