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Finding the Third Proportional to 260,587.13 and 548,511.75

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Solution

The third proportional to 260,587.13 and 548,511.75 is: 1,154,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,587.13 : 548,511.75 = 548,511.75 : x
  2. Step 2: Convert to fraction form
    260,587.13/548,511.75 = 548,511.75/x
  3. Step 3: Cross multiply
    260,587.13x = 548,511.75 × 548,511.75
  4. Step 4: Simplify right side
    260,587.13x = 300,865,139,888.06
  5. Step 5: Solve for x
    x = 300,865,139,888.06/260,587.13
  6. Step 6: Final answer
    x = 1,154,566.40

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.