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Finding the Third Proportional to 334,668.38 and 509,846.06

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Solution

The third proportional to 334,668.38 and 509,846.06 is: 776,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,668.38 : 509,846.06 = 509,846.06 : x
  2. Step 2: Convert to fraction form
    334,668.38/509,846.06 = 509,846.06/x
  3. Step 3: Cross multiply
    334,668.38x = 509,846.06 × 509,846.06
  4. Step 4: Simplify right side
    334,668.38x = 259,943,007,446.75
  5. Step 5: Solve for x
    x = 259,943,007,446.75/334,668.38
  6. Step 6: Final answer
    x = 776,718.17

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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.