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Finding the Third Proportional to 498,136.08 and 1,031,715.98

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Solution

The third proportional to 498,136.08 and 1,031,715.98 is: 2,136,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,136.08 : 1,031,715.98 = 1,031,715.98 : x
  2. Step 2: Convert to fraction form
    498,136.08/1,031,715.98 = 1,031,715.98/x
  3. Step 3: Cross multiply
    498,136.08x = 1,031,715.98 × 1,031,715.98
  4. Step 4: Simplify right side
    498,136.08x = 1,064,437,872,414.88
  5. Step 5: Solve for x
    x = 1,064,437,872,414.88/498,136.08
  6. Step 6: Final answer
    x = 2,136,841.56

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Why These Related Problems?

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