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Finding the Third Proportional to 517,298.63 and 798,090.19

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Solution

The third proportional to 517,298.63 and 798,090.19 is: 1,231,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,298.63 : 798,090.19 = 798,090.19 : x
  2. Step 2: Convert to fraction form
    517,298.63/798,090.19 = 798,090.19/x
  3. Step 3: Cross multiply
    517,298.63x = 798,090.19 × 798,090.19
  4. Step 4: Simplify right side
    517,298.63x = 636,947,947,383.79
  5. Step 5: Solve for x
    x = 636,947,947,383.79/517,298.63
  6. Step 6: Final answer
    x = 1,231,296.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.