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Finding the Third Proportional to 390,274 and 811,164

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Solution

The third proportional to 390,274 and 811,164 is: 1,685,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,274 : 811,164 = 811,164 : x
  2. Step 2: Convert to fraction form
    390,274/811,164 = 811,164/x
  3. Step 3: Cross multiply
    390,274x = 811,164 × 811,164
  4. Step 4: Simplify right side
    390,274x = 657,987,034,896
  5. Step 5: Solve for x
    x = 657,987,034,896/390,274
  6. Step 6: Final answer
    x = 1,685,961.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.