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Finding the Third Proportional to 500,662.50 and 1,042,743

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Solution

The third proportional to 500,662.50 and 1,042,743 is: 2,171,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,662.50 : 1,042,743 = 1,042,743 : x
  2. Step 2: Convert to fraction form
    500,662.50/1,042,743 = 1,042,743/x
  3. Step 3: Cross multiply
    500,662.50x = 1,042,743 × 1,042,743
  4. Step 4: Simplify right side
    500,662.50x = 1,087,312,964,049
  5. Step 5: Solve for x
    x = 1,087,312,964,049/500,662.50
  6. Step 6: Final answer
    x = 2,171,748.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.