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Finding the Third Proportional to 296,244 and 637,445.25

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Solution

The third proportional to 296,244 and 637,445.25 is: 1,371,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,244 : 637,445.25 = 637,445.25 : x
  2. Step 2: Convert to fraction form
    296,244/637,445.25 = 637,445.25/x
  3. Step 3: Cross multiply
    296,244x = 637,445.25 × 637,445.25
  4. Step 4: Simplify right side
    296,244x = 406,336,446,747.56
  5. Step 5: Solve for x
    x = 406,336,446,747.56/296,244
  6. Step 6: Final answer
    x = 1,371,627.60

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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.