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Finding the Third Proportional to 260,140.13 and 567,427.88

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Solution

The third proportional to 260,140.13 and 567,427.88 is: 1,237,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,140.13 : 567,427.88 = 567,427.88 : x
  2. Step 2: Convert to fraction form
    260,140.13/567,427.88 = 567,427.88/x
  3. Step 3: Cross multiply
    260,140.13x = 567,427.88 × 567,427.88
  4. Step 4: Simplify right side
    260,140.13x = 321,974,393,327.02
  5. Step 5: Solve for x
    x = 321,974,393,327.02/260,140.13
  6. Step 6: Final answer
    x = 1,237,696.00

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