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Finding the Third Proportional to 239,138 and 524,716

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Solution

The third proportional to 239,138 and 524,716 is: 1,151,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,138 : 524,716 = 524,716 : x
  2. Step 2: Convert to fraction form
    239,138/524,716 = 524,716/x
  3. Step 3: Cross multiply
    239,138x = 524,716 × 524,716
  4. Step 4: Simplify right side
    239,138x = 275,326,880,656
  5. Step 5: Solve for x
    x = 275,326,880,656/239,138
  6. Step 6: Final answer
    x = 1,151,330.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.