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Finding the Third Proportional to 276,887 and 651,933

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Solution

The third proportional to 276,887 and 651,933 is: 1,534,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,887 : 651,933 = 651,933 : x
  2. Step 2: Convert to fraction form
    276,887/651,933 = 651,933/x
  3. Step 3: Cross multiply
    276,887x = 651,933 × 651,933
  4. Step 4: Simplify right side
    276,887x = 425,016,636,489
  5. Step 5: Solve for x
    x = 425,016,636,489/276,887
  6. Step 6: Final answer
    x = 1,534,982.27

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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.