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Finding the Third Proportional to 260,841 and 571,560

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Solution

The third proportional to 260,841 and 571,560 is: 1,252,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,841 : 571,560 = 571,560 : x
  2. Step 2: Convert to fraction form
    260,841/571,560 = 571,560/x
  3. Step 3: Cross multiply
    260,841x = 571,560 × 571,560
  4. Step 4: Simplify right side
    260,841x = 326,680,833,600
  5. Step 5: Solve for x
    x = 326,680,833,600/260,841
  6. Step 6: Final answer
    x = 1,252,413.67

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Why These Related Problems?

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