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Finding the Third Proportional to 483,772.50 and 1,031,706

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Solution

The third proportional to 483,772.50 and 1,031,706 is: 2,200,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,772.50 : 1,031,706 = 1,031,706 : x
  2. Step 2: Convert to fraction form
    483,772.50/1,031,706 = 1,031,706/x
  3. Step 3: Cross multiply
    483,772.50x = 1,031,706 × 1,031,706
  4. Step 4: Simplify right side
    483,772.50x = 1,064,417,270,436
  5. Step 5: Solve for x
    x = 1,064,417,270,436/483,772.50
  6. Step 6: Final answer
    x = 2,200,243.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.