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Finding the Third Proportional to 262,373 and 579,877

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Solution

The third proportional to 262,373 and 579,877 is: 1,281,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,373 : 579,877 = 579,877 : x
  2. Step 2: Convert to fraction form
    262,373/579,877 = 579,877/x
  3. Step 3: Cross multiply
    262,373x = 579,877 × 579,877
  4. Step 4: Simplify right side
    262,373x = 336,257,335,129
  5. Step 5: Solve for x
    x = 336,257,335,129/262,373
  6. Step 6: Final answer
    x = 1,281,600.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.