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Finding the Third Proportional to 590,952 and 836,263

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Solution

The third proportional to 590,952 and 836,263 is: 1,183,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,952 : 836,263 = 836,263 : x
  2. Step 2: Convert to fraction form
    590,952/836,263 = 836,263/x
  3. Step 3: Cross multiply
    590,952x = 836,263 × 836,263
  4. Step 4: Simplify right side
    590,952x = 699,335,805,169
  5. Step 5: Solve for x
    x = 699,335,805,169/590,952
  6. Step 6: Final answer
    x = 1,183,405.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.