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Finding the Third Proportional to 260,901 and 564,975

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Solution

The third proportional to 260,901 and 564,975 is: 1,223,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,901 : 564,975 = 564,975 : x
  2. Step 2: Convert to fraction form
    260,901/564,975 = 564,975/x
  3. Step 3: Cross multiply
    260,901x = 564,975 × 564,975
  4. Step 4: Simplify right side
    260,901x = 319,196,750,625
  5. Step 5: Solve for x
    x = 319,196,750,625/260,901
  6. Step 6: Final answer
    x = 1,223,440.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.