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Finding the Third Proportional to 508,477.50 and 1,102,658.06

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Solution

The third proportional to 508,477.50 and 1,102,658.06 is: 2,391,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,477.50 : 1,102,658.06 = 1,102,658.06 : x
  2. Step 2: Convert to fraction form
    508,477.50/1,102,658.06 = 1,102,658.06/x
  3. Step 3: Cross multiply
    508,477.50x = 1,102,658.06 × 1,102,658.06
  4. Step 4: Simplify right side
    508,477.50x = 1,215,854,802,796.25
  5. Step 5: Solve for x
    x = 1,215,854,802,796.25/508,477.50
  6. Step 6: Final answer
    x = 2,391,167.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.