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Finding the Third Proportional to 296,376 and 647,184

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Solution

The third proportional to 296,376 and 647,184 is: 1,413,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,376 : 647,184 = 647,184 : x
  2. Step 2: Convert to fraction form
    296,376/647,184 = 647,184/x
  3. Step 3: Cross multiply
    296,376x = 647,184 × 647,184
  4. Step 4: Simplify right side
    296,376x = 418,847,129,856
  5. Step 5: Solve for x
    x = 418,847,129,856/296,376
  6. Step 6: Final answer
    x = 1,413,228.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.