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Finding the Third Proportional to 227,041.31 and 513,064.13

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Solution

The third proportional to 227,041.31 and 513,064.13 is: 1,159,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,041.31 : 513,064.13 = 513,064.13 : x
  2. Step 2: Convert to fraction form
    227,041.31/513,064.13 = 513,064.13/x
  3. Step 3: Cross multiply
    227,041.31x = 513,064.13 × 513,064.13
  4. Step 4: Simplify right side
    227,041.31x = 263,234,796,362.02
  5. Step 5: Solve for x
    x = 263,234,796,362.02/227,041.31
  6. Step 6: Final answer
    x = 1,159,413.65

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.