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Finding the Third Proportional to 334,679.34 and 509,867.16

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Solution

The third proportional to 334,679.34 and 509,867.16 is: 776,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,679.34 : 509,867.16 = 509,867.16 : x
  2. Step 2: Convert to fraction form
    334,679.34/509,867.16 = 509,867.16/x
  3. Step 3: Cross multiply
    334,679.34x = 509,867.16 × 509,867.16
  4. Step 4: Simplify right side
    334,679.34x = 259,964,517,022.46
  5. Step 5: Solve for x
    x = 259,964,517,022.46/334,679.34
  6. Step 6: Final answer
    x = 776,756.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.