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Finding the Third Proportional to 242,986 and 525,908

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Solution

The third proportional to 242,986 and 525,908 is: 1,138,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,986 : 525,908 = 525,908 : x
  2. Step 2: Convert to fraction form
    242,986/525,908 = 525,908/x
  3. Step 3: Cross multiply
    242,986x = 525,908 × 525,908
  4. Step 4: Simplify right side
    242,986x = 276,579,224,464
  5. Step 5: Solve for x
    x = 276,579,224,464/242,986
  6. Step 6: Final answer
    x = 1,138,251.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.