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Finding the Third Proportional to 276,940 and 652,022

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Solution

The third proportional to 276,940 and 652,022 is: 1,535,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,940 : 652,022 = 652,022 : x
  2. Step 2: Convert to fraction form
    276,940/652,022 = 652,022/x
  3. Step 3: Cross multiply
    276,940x = 652,022 × 652,022
  4. Step 4: Simplify right side
    276,940x = 425,132,688,484
  5. Step 5: Solve for x
    x = 425,132,688,484/276,940
  6. Step 6: Final answer
    x = 1,535,107.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.