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Finding the Third Proportional to 229,306.50 and 500,260.50

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Solution

The third proportional to 229,306.50 and 500,260.50 is: 1,091,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,306.50 : 500,260.50 = 500,260.50 : x
  2. Step 2: Convert to fraction form
    229,306.50/500,260.50 = 500,260.50/x
  3. Step 3: Cross multiply
    229,306.50x = 500,260.50 × 500,260.50
  4. Step 4: Simplify right side
    229,306.50x = 250,260,567,860.25
  5. Step 5: Solve for x
    x = 250,260,567,860.25/229,306.50
  6. Step 6: Final answer
    x = 1,091,380.17

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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.