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Finding the Third Proportional to 395,612 and 584,724

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Solution

The third proportional to 395,612 and 584,724 is: 864,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,612 : 584,724 = 584,724 : x
  2. Step 2: Convert to fraction form
    395,612/584,724 = 584,724/x
  3. Step 3: Cross multiply
    395,612x = 584,724 × 584,724
  4. Step 4: Simplify right side
    395,612x = 341,902,156,176
  5. Step 5: Solve for x
    x = 341,902,156,176/395,612
  6. Step 6: Final answer
    x = 864,236.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.