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Finding the Third Proportional to 276,937 and 652,014

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Solution

The third proportional to 276,937 and 652,014 is: 1,535,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,937 : 652,014 = 652,014 : x
  2. Step 2: Convert to fraction form
    276,937/652,014 = 652,014/x
  3. Step 3: Cross multiply
    276,937x = 652,014 × 652,014
  4. Step 4: Simplify right side
    276,937x = 425,122,256,196
  5. Step 5: Solve for x
    x = 425,122,256,196/276,937
  6. Step 6: Final answer
    x = 1,535,086.52

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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.