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Finding the Third Proportional to 276,054 and 594,342

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Solution

The third proportional to 276,054 and 594,342 is: 1,279,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,054 : 594,342 = 594,342 : x
  2. Step 2: Convert to fraction form
    276,054/594,342 = 594,342/x
  3. Step 3: Cross multiply
    276,054x = 594,342 × 594,342
  4. Step 4: Simplify right side
    276,054x = 353,242,412,964
  5. Step 5: Solve for x
    x = 353,242,412,964/276,054
  6. Step 6: Final answer
    x = 1,279,613.46

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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.