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Finding the Third Proportional to 339,537.50 and 719,549

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Solution

The third proportional to 339,537.50 and 719,549 is: 1,524,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,537.50 : 719,549 = 719,549 : x
  2. Step 2: Convert to fraction form
    339,537.50/719,549 = 719,549/x
  3. Step 3: Cross multiply
    339,537.50x = 719,549 × 719,549
  4. Step 4: Simplify right side
    339,537.50x = 517,750,763,401
  5. Step 5: Solve for x
    x = 517,750,763,401/339,537.50
  6. Step 6: Final answer
    x = 1,524,870.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.