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Finding the Third Proportional to 339,486.19 and 512,689.50

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Solution

The third proportional to 339,486.19 and 512,689.50 is: 774,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,486.19 : 512,689.50 = 512,689.50 : x
  2. Step 2: Convert to fraction form
    339,486.19/512,689.50 = 512,689.50/x
  3. Step 3: Cross multiply
    339,486.19x = 512,689.50 × 512,689.50
  4. Step 4: Simplify right side
    339,486.19x = 262,850,523,410.25
  5. Step 5: Solve for x
    x = 262,850,523,410.25/339,486.19
  6. Step 6: Final answer
    x = 774,259.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.