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Finding the Third Proportional to 261,365 and 566,986

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Solution

The third proportional to 261,365 and 566,986 is: 1,229,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,365 : 566,986 = 566,986 : x
  2. Step 2: Convert to fraction form
    261,365/566,986 = 566,986/x
  3. Step 3: Cross multiply
    261,365x = 566,986 × 566,986
  4. Step 4: Simplify right side
    261,365x = 321,473,124,196
  5. Step 5: Solve for x
    x = 321,473,124,196/261,365
  6. Step 6: Final answer
    x = 1,229,977.71

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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.