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Finding the Third Proportional to 268,690.50 and 566,534.25

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Solution

The third proportional to 268,690.50 and 566,534.25 is: 1,194,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,690.50 : 566,534.25 = 566,534.25 : x
  2. Step 2: Convert to fraction form
    268,690.50/566,534.25 = 566,534.25/x
  3. Step 3: Cross multiply
    268,690.50x = 566,534.25 × 566,534.25
  4. Step 4: Simplify right side
    268,690.50x = 320,961,056,423.06
  5. Step 5: Solve for x
    x = 320,961,056,423.06/268,690.50
  6. Step 6: Final answer
    x = 1,194,538.16

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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.