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Finding the Third Proportional to 588,276 and 828,414

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Solution

The third proportional to 588,276 and 828,414 is: 1,166,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,276 : 828,414 = 828,414 : x
  2. Step 2: Convert to fraction form
    588,276/828,414 = 828,414/x
  3. Step 3: Cross multiply
    588,276x = 828,414 × 828,414
  4. Step 4: Simplify right side
    588,276x = 686,269,755,396
  5. Step 5: Solve for x
    x = 686,269,755,396/588,276
  6. Step 6: Final answer
    x = 1,166,577.86

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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.