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Finding the Third Proportional to 412,310 and 588,033

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Solution

The third proportional to 412,310 and 588,033 is: 838,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,310 : 588,033 = 588,033 : x
  2. Step 2: Convert to fraction form
    412,310/588,033 = 588,033/x
  3. Step 3: Cross multiply
    412,310x = 588,033 × 588,033
  4. Step 4: Simplify right side
    412,310x = 345,782,809,089
  5. Step 5: Solve for x
    x = 345,782,809,089/412,310
  6. Step 6: Final answer
    x = 838,647.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.