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Finding the Third Proportional to 227,647.13 and 498,807

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Solution

The third proportional to 227,647.13 and 498,807 is: 1,092,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,647.13 : 498,807 = 498,807 : x
  2. Step 2: Convert to fraction form
    227,647.13/498,807 = 498,807/x
  3. Step 3: Cross multiply
    227,647.13x = 498,807 × 498,807
  4. Step 4: Simplify right side
    227,647.13x = 248,808,423,249
  5. Step 5: Solve for x
    x = 248,808,423,249/227,647.13
  6. Step 6: Final answer
    x = 1,092,956.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.