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Finding the Third Proportional to 314,576.25 and 500,367.38

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Solution

The third proportional to 314,576.25 and 500,367.38 is: 795,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,576.25 : 500,367.38 = 500,367.38 : x
  2. Step 2: Convert to fraction form
    314,576.25/500,367.38 = 500,367.38/x
  3. Step 3: Cross multiply
    314,576.25x = 500,367.38 × 500,367.38
  4. Step 4: Simplify right side
    314,576.25x = 250,367,509,964.39
  5. Step 5: Solve for x
    x = 250,367,509,964.39/314,576.25
  6. Step 6: Final answer
    x = 795,888.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.