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Finding the Third Proportional to 263,324 and 376,293

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Solution

The third proportional to 263,324 and 376,293 is: 537,726.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,324 : 376,293 = 376,293 : x
  2. Step 2: Convert to fraction form
    263,324/376,293 = 376,293/x
  3. Step 3: Cross multiply
    263,324x = 376,293 × 376,293
  4. Step 4: Simplify right side
    263,324x = 141,596,421,849
  5. Step 5: Solve for x
    x = 141,596,421,849/263,324
  6. Step 6: Final answer
    x = 537,726.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.