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Finding the Third Proportional to 560,538 and 805,813.50

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Solution

The third proportional to 560,538 and 805,813.50 is: 1,158,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,538 : 805,813.50 = 805,813.50 : x
  2. Step 2: Convert to fraction form
    560,538/805,813.50 = 805,813.50/x
  3. Step 3: Cross multiply
    560,538x = 805,813.50 × 805,813.50
  4. Step 4: Simplify right side
    560,538x = 649,335,396,782.25
  5. Step 5: Solve for x
    x = 649,335,396,782.25/560,538
  6. Step 6: Final answer
    x = 1,158,414.59

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.