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Finding the Third Proportional to 262,880 and 570,046

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Solution

The third proportional to 262,880 and 570,046 is: 1,236,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,880 : 570,046 = 570,046 : x
  2. Step 2: Convert to fraction form
    262,880/570,046 = 570,046/x
  3. Step 3: Cross multiply
    262,880x = 570,046 × 570,046
  4. Step 4: Simplify right side
    262,880x = 324,952,442,116
  5. Step 5: Solve for x
    x = 324,952,442,116/262,880
  6. Step 6: Final answer
    x = 1,236,124.63

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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.