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Finding the Third Proportional to 588,307 and 828,453

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Solution

The third proportional to 588,307 and 828,453 is: 1,166,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,307 : 828,453 = 828,453 : x
  2. Step 2: Convert to fraction form
    588,307/828,453 = 828,453/x
  3. Step 3: Cross multiply
    588,307x = 828,453 × 828,453
  4. Step 4: Simplify right side
    588,307x = 686,334,373,209
  5. Step 5: Solve for x
    x = 686,334,373,209/588,307
  6. Step 6: Final answer
    x = 1,166,626.22

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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.