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Finding the Third Proportional to 590,436 and 828,498

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Solution

The third proportional to 590,436 and 828,498 is: 1,162,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,436 : 828,498 = 828,498 : x
  2. Step 2: Convert to fraction form
    590,436/828,498 = 828,498/x
  3. Step 3: Cross multiply
    590,436x = 828,498 × 828,498
  4. Step 4: Simplify right side
    590,436x = 686,408,936,004
  5. Step 5: Solve for x
    x = 686,408,936,004/590,436
  6. Step 6: Final answer
    x = 1,162,545.87

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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.