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Finding the Third Proportional to 349,508 and 524,614

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Solution

The third proportional to 349,508 and 524,614 is: 787,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,508 : 524,614 = 524,614 : x
  2. Step 2: Convert to fraction form
    349,508/524,614 = 524,614/x
  3. Step 3: Cross multiply
    349,508x = 524,614 × 524,614
  4. Step 4: Simplify right side
    349,508x = 275,219,848,996
  5. Step 5: Solve for x
    x = 275,219,848,996/349,508
  6. Step 6: Final answer
    x = 787,449.35

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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.