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Finding the Third Proportional to 260,563.75 and 571,005.50

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Solution

The third proportional to 260,563.75 and 571,005.50 is: 1,251,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,563.75 : 571,005.50 = 571,005.50 : x
  2. Step 2: Convert to fraction form
    260,563.75/571,005.50 = 571,005.50/x
  3. Step 3: Cross multiply
    260,563.75x = 571,005.50 × 571,005.50
  4. Step 4: Simplify right side
    260,563.75x = 326,047,281,030.25
  5. Step 5: Solve for x
    x = 326,047,281,030.25/260,563.75
  6. Step 6: Final answer
    x = 1,251,314.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.