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Finding the Third Proportional to 334,685.25 and 509,878.13

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Solution

The third proportional to 334,685.25 and 509,878.13 is: 776,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,685.25 : 509,878.13 = 509,878.13 : x
  2. Step 2: Convert to fraction form
    334,685.25/509,878.13 = 509,878.13/x
  3. Step 3: Cross multiply
    334,685.25x = 509,878.13 × 509,878.13
  4. Step 4: Simplify right side
    334,685.25x = 259,975,702,353.52
  5. Step 5: Solve for x
    x = 259,975,702,353.52/334,685.25
  6. Step 6: Final answer
    x = 776,776.69

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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.