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Finding the Third Proportional to 498,142.50 and 1,031,733

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Solution

The third proportional to 498,142.50 and 1,031,733 is: 2,136,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,142.50 : 1,031,733 = 1,031,733 : x
  2. Step 2: Convert to fraction form
    498,142.50/1,031,733 = 1,031,733/x
  3. Step 3: Cross multiply
    498,142.50x = 1,031,733 × 1,031,733
  4. Step 4: Simplify right side
    498,142.50x = 1,064,472,983,289
  5. Step 5: Solve for x
    x = 1,064,472,983,289/498,142.50
  6. Step 6: Final answer
    x = 2,136,884.49

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.