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Finding the Third Proportional to 517,214.53 and 807,260.34

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Solution

The third proportional to 517,214.53 and 807,260.34 is: 1,259,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,214.53 : 807,260.34 = 807,260.34 : x
  2. Step 2: Convert to fraction form
    517,214.53/807,260.34 = 807,260.34/x
  3. Step 3: Cross multiply
    517,214.53x = 807,260.34 × 807,260.34
  4. Step 4: Simplify right side
    517,214.53x = 651,669,262,591.37
  5. Step 5: Solve for x
    x = 651,669,262,591.37/517,214.53
  6. Step 6: Final answer
    x = 1,259,959.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.