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Finding the Third Proportional to 296,256 and 637,467

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Solution

The third proportional to 296,256 and 637,467 is: 1,371,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,256 : 637,467 = 637,467 : x
  2. Step 2: Convert to fraction form
    296,256/637,467 = 637,467/x
  3. Step 3: Cross multiply
    296,256x = 637,467 × 637,467
  4. Step 4: Simplify right side
    296,256x = 406,364,176,089
  5. Step 5: Solve for x
    x = 406,364,176,089/296,256
  6. Step 6: Final answer
    x = 1,371,665.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.