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Finding the Third Proportional to 529,200 and 798,714

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Solution

The third proportional to 529,200 and 798,714 is: 1,205,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,200 : 798,714 = 798,714 : x
  2. Step 2: Convert to fraction form
    529,200/798,714 = 798,714/x
  3. Step 3: Cross multiply
    529,200x = 798,714 × 798,714
  4. Step 4: Simplify right side
    529,200x = 637,944,053,796
  5. Step 5: Solve for x
    x = 637,944,053,796/529,200
  6. Step 6: Final answer
    x = 1,205,487.63

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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.