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Finding the Third Proportional to 269,286 and 583,146

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Solution

The third proportional to 269,286 and 583,146 is: 1,262,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,286 : 583,146 = 583,146 : x
  2. Step 2: Convert to fraction form
    269,286/583,146 = 583,146/x
  3. Step 3: Cross multiply
    269,286x = 583,146 × 583,146
  4. Step 4: Simplify right side
    269,286x = 340,059,257,316
  5. Step 5: Solve for x
    x = 340,059,257,316/269,286
  6. Step 6: Final answer
    x = 1,262,818.18

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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.