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Finding the Third Proportional to 349,933.50 and 524,809.13

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Solution

The third proportional to 349,933.50 and 524,809.13 is: 787,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,933.50 : 524,809.13 = 524,809.13 : x
  2. Step 2: Convert to fraction form
    349,933.50/524,809.13 = 524,809.13/x
  3. Step 3: Cross multiply
    349,933.50x = 524,809.13 × 524,809.13
  4. Step 4: Simplify right side
    349,933.50x = 275,424,617,683.27
  5. Step 5: Solve for x
    x = 275,424,617,683.27/349,933.50
  6. Step 6: Final answer
    x = 787,077.02

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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.