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Finding the Third Proportional to 282,902 and 606,253

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Solution

The third proportional to 282,902 and 606,253 is: 1,299,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,902 : 606,253 = 606,253 : x
  2. Step 2: Convert to fraction form
    282,902/606,253 = 606,253/x
  3. Step 3: Cross multiply
    282,902x = 606,253 × 606,253
  4. Step 4: Simplify right side
    282,902x = 367,542,700,009
  5. Step 5: Solve for x
    x = 367,542,700,009/282,902
  6. Step 6: Final answer
    x = 1,299,187.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.