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Finding the Third Proportional to 590,336 and 828,372

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Solution

The third proportional to 590,336 and 828,372 is: 1,162,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,336 : 828,372 = 828,372 : x
  2. Step 2: Convert to fraction form
    590,336/828,372 = 828,372/x
  3. Step 3: Cross multiply
    590,336x = 828,372 × 828,372
  4. Step 4: Simplify right side
    590,336x = 686,200,170,384
  5. Step 5: Solve for x
    x = 686,200,170,384/590,336
  6. Step 6: Final answer
    x = 1,162,389.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.