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Finding the Third Proportional to 269,292 and 583,158

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Solution

The third proportional to 269,292 and 583,158 is: 1,262,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,292 : 583,158 = 583,158 : x
  2. Step 2: Convert to fraction form
    269,292/583,158 = 583,158/x
  3. Step 3: Cross multiply
    269,292x = 583,158 × 583,158
  4. Step 4: Simplify right side
    269,292x = 340,073,252,964
  5. Step 5: Solve for x
    x = 340,073,252,964/269,292
  6. Step 6: Final answer
    x = 1,262,842.02

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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.