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Finding the Third Proportional to 229,027.50 and 498,711.94

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Solution

The third proportional to 229,027.50 and 498,711.94 is: 1,085,955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,027.50 : 498,711.94 = 498,711.94 : x
  2. Step 2: Convert to fraction form
    229,027.50/498,711.94 = 498,711.94/x
  3. Step 3: Cross multiply
    229,027.50x = 498,711.94 × 498,711.94
  4. Step 4: Simplify right side
    229,027.50x = 248,713,596,605.00
  5. Step 5: Solve for x
    x = 248,713,596,605.00/229,027.50
  6. Step 6: Final answer
    x = 1,085,955.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.