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Finding the Third Proportional to 260,422 and 570,700

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Solution

The third proportional to 260,422 and 570,700 is: 1,250,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,422 : 570,700 = 570,700 : x
  2. Step 2: Convert to fraction form
    260,422/570,700 = 570,700/x
  3. Step 3: Cross multiply
    260,422x = 570,700 × 570,700
  4. Step 4: Simplify right side
    260,422x = 325,698,490,000
  5. Step 5: Solve for x
    x = 325,698,490,000/260,422
  6. Step 6: Final answer
    x = 1,250,656.59

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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.