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Finding the Third Proportional to 529,097 and 798,416

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Solution

The third proportional to 529,097 and 798,416 is: 1,204,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,097 : 798,416 = 798,416 : x
  2. Step 2: Convert to fraction form
    529,097/798,416 = 798,416/x
  3. Step 3: Cross multiply
    529,097x = 798,416 × 798,416
  4. Step 4: Simplify right side
    529,097x = 637,468,109,056
  5. Step 5: Solve for x
    x = 637,468,109,056/529,097
  6. Step 6: Final answer
    x = 1,204,822.76

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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.