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Finding the Third Proportional to 349,903.13 and 524,763.56

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Solution

The third proportional to 349,903.13 and 524,763.56 is: 787,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,903.13 : 524,763.56 = 524,763.56 : x
  2. Step 2: Convert to fraction form
    349,903.13/524,763.56 = 524,763.56/x
  3. Step 3: Cross multiply
    349,903.13x = 524,763.56 × 524,763.56
  4. Step 4: Simplify right side
    349,903.13x = 275,376,796,527.69
  5. Step 5: Solve for x
    x = 275,376,796,527.69/349,903.13
  6. Step 6: Final answer
    x = 787,008.68

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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.