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Finding the Third Proportional to 334,537.31 and 500,345.44

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Solution

The third proportional to 334,537.31 and 500,345.44 is: 748,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,537.31 : 500,345.44 = 500,345.44 : x
  2. Step 2: Convert to fraction form
    334,537.31/500,345.44 = 500,345.44/x
  3. Step 3: Cross multiply
    334,537.31x = 500,345.44 × 500,345.44
  4. Step 4: Simplify right side
    334,537.31x = 250,345,556,827.07
  5. Step 5: Solve for x
    x = 250,345,556,827.07/334,537.31
  6. Step 6: Final answer
    x = 748,333.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.