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Finding the Third Proportional to 588,240 and 828,352

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Solution

The third proportional to 588,240 and 828,352 is: 1,166,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,240 : 828,352 = 828,352 : x
  2. Step 2: Convert to fraction form
    588,240/828,352 = 828,352/x
  3. Step 3: Cross multiply
    588,240x = 828,352 × 828,352
  4. Step 4: Simplify right side
    588,240x = 686,167,035,904
  5. Step 5: Solve for x
    x = 686,167,035,904/588,240
  6. Step 6: Final answer
    x = 1,166,474.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.