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Finding the Third Proportional to 242,826 and 515,239

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Solution

The third proportional to 242,826 and 515,239 is: 1,093,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,826 : 515,239 = 515,239 : x
  2. Step 2: Convert to fraction form
    242,826/515,239 = 515,239/x
  3. Step 3: Cross multiply
    242,826x = 515,239 × 515,239
  4. Step 4: Simplify right side
    242,826x = 265,471,227,121
  5. Step 5: Solve for x
    x = 265,471,227,121/242,826
  6. Step 6: Final answer
    x = 1,093,257.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.