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Finding the Third Proportional to 261,023 and 569,986

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Solution

The third proportional to 261,023 and 569,986 is: 1,244,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,023 : 569,986 = 569,986 : x
  2. Step 2: Convert to fraction form
    261,023/569,986 = 569,986/x
  3. Step 3: Cross multiply
    261,023x = 569,986 × 569,986
  4. Step 4: Simplify right side
    261,023x = 324,884,040,196
  5. Step 5: Solve for x
    x = 324,884,040,196/261,023
  6. Step 6: Final answer
    x = 1,244,656.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.