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Finding the Third Proportional to 261,360 and 566,976

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Solution

The third proportional to 261,360 and 566,976 is: 1,229,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,360 : 566,976 = 566,976 : x
  2. Step 2: Convert to fraction form
    261,360/566,976 = 566,976/x
  3. Step 3: Cross multiply
    261,360x = 566,976 × 566,976
  4. Step 4: Simplify right side
    261,360x = 321,461,784,576
  5. Step 5: Solve for x
    x = 321,461,784,576/261,360
  6. Step 6: Final answer
    x = 1,229,957.85

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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.