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Finding the Third Proportional to 262,376 and 579,882

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Solution

The third proportional to 262,376 and 579,882 is: 1,281,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,376 : 579,882 = 579,882 : x
  2. Step 2: Convert to fraction form
    262,376/579,882 = 579,882/x
  3. Step 3: Cross multiply
    262,376x = 579,882 × 579,882
  4. Step 4: Simplify right side
    262,376x = 336,263,133,924
  5. Step 5: Solve for x
    x = 336,263,133,924/262,376
  6. Step 6: Final answer
    x = 1,281,607.82

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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.