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Finding the Third Proportional to 268,564 and 376,476

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Solution

The third proportional to 268,564 and 376,476 is: 527,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,564 : 376,476 = 376,476 : x
  2. Step 2: Convert to fraction form
    268,564/376,476 = 376,476/x
  3. Step 3: Cross multiply
    268,564x = 376,476 × 376,476
  4. Step 4: Simplify right side
    268,564x = 141,734,178,576
  5. Step 5: Solve for x
    x = 141,734,178,576/268,564
  6. Step 6: Final answer
    x = 527,748.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.