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Finding the Third Proportional to 276,864 and 592,118

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Solution

The third proportional to 276,864 and 592,118 is: 1,266,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,864 : 592,118 = 592,118 : x
  2. Step 2: Convert to fraction form
    276,864/592,118 = 592,118/x
  3. Step 3: Cross multiply
    276,864x = 592,118 × 592,118
  4. Step 4: Simplify right side
    276,864x = 350,603,725,924
  5. Step 5: Solve for x
    x = 350,603,725,924/276,864
  6. Step 6: Final answer
    x = 1,266,339.16

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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.