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Finding the Third Proportional to 343,169 and 517,273.50

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Solution

The third proportional to 343,169 and 517,273.50 is: 779,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,169 : 517,273.50 = 517,273.50 : x
  2. Step 2: Convert to fraction form
    343,169/517,273.50 = 517,273.50/x
  3. Step 3: Cross multiply
    343,169x = 517,273.50 × 517,273.50
  4. Step 4: Simplify right side
    343,169x = 267,571,873,802.25
  5. Step 5: Solve for x
    x = 267,571,873,802.25/343,169
  6. Step 6: Final answer
    x = 779,708.76

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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.