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Finding the Third Proportional to 268,536 and 376,437

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Solution

The third proportional to 268,536 and 376,437 is: 527,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,536 : 376,437 = 376,437 : x
  2. Step 2: Convert to fraction form
    268,536/376,437 = 376,437/x
  3. Step 3: Cross multiply
    268,536x = 376,437 × 376,437
  4. Step 4: Simplify right side
    268,536x = 141,704,814,969
  5. Step 5: Solve for x
    x = 141,704,814,969/268,536
  6. Step 6: Final answer
    x = 527,693.92

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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.