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Finding the Third Proportional to 349,766 and 524,650

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Solution

The third proportional to 349,766 and 524,650 is: 786,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,766 : 524,650 = 524,650 : x
  2. Step 2: Convert to fraction form
    349,766/524,650 = 524,650/x
  3. Step 3: Cross multiply
    349,766x = 524,650 × 524,650
  4. Step 4: Simplify right side
    349,766x = 275,257,622,500
  5. Step 5: Solve for x
    x = 275,257,622,500/349,766
  6. Step 6: Final answer
    x = 786,976.50

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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.