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Finding the Third Proportional to 268,696.50 and 566,554.50

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Solution

The third proportional to 268,696.50 and 566,554.50 is: 1,194,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,696.50 : 566,554.50 = 566,554.50 : x
  2. Step 2: Convert to fraction form
    268,696.50/566,554.50 = 566,554.50/x
  3. Step 3: Cross multiply
    268,696.50x = 566,554.50 × 566,554.50
  4. Step 4: Simplify right side
    268,696.50x = 320,984,001,470.25
  5. Step 5: Solve for x
    x = 320,984,001,470.25/268,696.50
  6. Step 6: Final answer
    x = 1,194,596.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.