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Finding the Third Proportional to 349,737.75 and 524,606.63

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Solution

The third proportional to 349,737.75 and 524,606.63 is: 786,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,737.75 : 524,606.63 = 524,606.63 : x
  2. Step 2: Convert to fraction form
    349,737.75/524,606.63 = 524,606.63/x
  3. Step 3: Cross multiply
    349,737.75x = 524,606.63 × 524,606.63
  4. Step 4: Simplify right side
    349,737.75x = 275,212,110,993.89
  5. Step 5: Solve for x
    x = 275,212,110,993.89/349,737.75
  6. Step 6: Final answer
    x = 786,909.94

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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.