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Finding the Third Proportional to 263,416 and 376,424

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Solution

The third proportional to 263,416 and 376,424 is: 537,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,416 : 376,424 = 376,424 : x
  2. Step 2: Convert to fraction form
    263,416/376,424 = 376,424/x
  3. Step 3: Cross multiply
    263,416x = 376,424 × 376,424
  4. Step 4: Simplify right side
    263,416x = 141,695,027,776
  5. Step 5: Solve for x
    x = 141,695,027,776/263,416
  6. Step 6: Final answer
    x = 537,913.52

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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.