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Finding the Third Proportional to 276,352 and 594,986

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Solution

The third proportional to 276,352 and 594,986 is: 1,281,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,352 : 594,986 = 594,986 : x
  2. Step 2: Convert to fraction form
    276,352/594,986 = 594,986/x
  3. Step 3: Cross multiply
    276,352x = 594,986 × 594,986
  4. Step 4: Simplify right side
    276,352x = 354,008,340,196
  5. Step 5: Solve for x
    x = 354,008,340,196/276,352
  6. Step 6: Final answer
    x = 1,281,005.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.