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Finding the Third Proportional to 268,521 and 376,416

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Solution

The third proportional to 268,521 and 376,416 is: 527,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,521 : 376,416 = 376,416 : x
  2. Step 2: Convert to fraction form
    268,521/376,416 = 376,416/x
  3. Step 3: Cross multiply
    268,521x = 376,416 × 376,416
  4. Step 4: Simplify right side
    268,521x = 141,689,005,056
  5. Step 5: Solve for x
    x = 141,689,005,056/268,521
  6. Step 6: Final answer
    x = 527,664.52

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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.