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Finding the Third Proportional to 264,363 and 376,860

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Solution

The third proportional to 264,363 and 376,860 is: 537,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,363 : 376,860 = 376,860 : x
  2. Step 2: Convert to fraction form
    264,363/376,860 = 376,860/x
  3. Step 3: Cross multiply
    264,363x = 376,860 × 376,860
  4. Step 4: Simplify right side
    264,363x = 142,023,459,600
  5. Step 5: Solve for x
    x = 142,023,459,600/264,363
  6. Step 6: Final answer
    x = 537,228.96

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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.