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Finding the Third Proportional to 349,902.75 and 524,762.88

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Solution

The third proportional to 349,902.75 and 524,762.88 is: 787,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,902.75 : 524,762.88 = 524,762.88 : x
  2. Step 2: Convert to fraction form
    349,902.75/524,762.88 = 524,762.88/x
  3. Step 3: Cross multiply
    349,902.75x = 524,762.88 × 524,762.88
  4. Step 4: Simplify right side
    349,902.75x = 275,376,074,978.27
  5. Step 5: Solve for x
    x = 275,376,074,978.27/349,902.75
  6. Step 6: Final answer
    x = 787,007.46

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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.