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Finding the Third Proportional to 260,502 and 570,873

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Solution

The third proportional to 260,502 and 570,873 is: 1,251,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,502 : 570,873 = 570,873 : x
  2. Step 2: Convert to fraction form
    260,502/570,873 = 570,873/x
  3. Step 3: Cross multiply
    260,502x = 570,873 × 570,873
  4. Step 4: Simplify right side
    260,502x = 325,895,982,129
  5. Step 5: Solve for x
    x = 325,895,982,129/260,502
  6. Step 6: Final answer
    x = 1,251,030.63

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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.