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Finding the Third Proportional to 245,350.50 and 499,722

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Solution

The third proportional to 245,350.50 and 499,722 is: 1,017,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,350.50 : 499,722 = 499,722 : x
  2. Step 2: Convert to fraction form
    245,350.50/499,722 = 499,722/x
  3. Step 3: Cross multiply
    245,350.50x = 499,722 × 499,722
  4. Step 4: Simplify right side
    245,350.50x = 249,722,077,284
  5. Step 5: Solve for x
    x = 249,722,077,284/245,350.50
  6. Step 6: Final answer
    x = 1,017,817.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.