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Finding the Third Proportional to 260,361 and 570,658

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Solution

The third proportional to 260,361 and 570,658 is: 1,250,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,361 : 570,658 = 570,658 : x
  2. Step 2: Convert to fraction form
    260,361/570,658 = 570,658/x
  3. Step 3: Cross multiply
    260,361x = 570,658 × 570,658
  4. Step 4: Simplify right side
    260,361x = 325,650,552,964
  5. Step 5: Solve for x
    x = 325,650,552,964/260,361
  6. Step 6: Final answer
    x = 1,250,765.49

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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.