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Finding the Third Proportional to 529,099.50 and 798,420

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Solution

The third proportional to 529,099.50 and 798,420 is: 1,204,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,099.50 : 798,420 = 798,420 : x
  2. Step 2: Convert to fraction form
    529,099.50/798,420 = 798,420/x
  3. Step 3: Cross multiply
    529,099.50x = 798,420 × 798,420
  4. Step 4: Simplify right side
    529,099.50x = 637,474,496,400
  5. Step 5: Solve for x
    x = 637,474,496,400/529,099.50
  6. Step 6: Final answer
    x = 1,204,829.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.