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Finding the Third Proportional to 334,064.25 and 537,865.31

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Solution

The third proportional to 334,064.25 and 537,865.31 is: 865,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,064.25 : 537,865.31 = 537,865.31 : x
  2. Step 2: Convert to fraction form
    334,064.25/537,865.31 = 537,865.31/x
  3. Step 3: Cross multiply
    334,064.25x = 537,865.31 × 537,865.31
  4. Step 4: Simplify right side
    334,064.25x = 289,299,094,390.72
  5. Step 5: Solve for x
    x = 289,299,094,390.72/334,064.25
  6. Step 6: Final answer
    x = 865,998.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.