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Finding the Third Proportional to 334,072.79 and 517,140.07

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Solution

The third proportional to 334,072.79 and 517,140.07 is: 800,525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,072.79 : 517,140.07 = 517,140.07 : x
  2. Step 2: Convert to fraction form
    334,072.79/517,140.07 = 517,140.07/x
  3. Step 3: Cross multiply
    334,072.79x = 517,140.07 × 517,140.07
  4. Step 4: Simplify right side
    334,072.79x = 267,433,852,322.82
  5. Step 5: Solve for x
    x = 267,433,852,322.82/334,072.79
  6. Step 6: Final answer
    x = 800,525.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.