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Finding the Third Proportional to 295,790 and 637,370

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Solution

The third proportional to 295,790 and 637,370 is: 1,373,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,790 : 637,370 = 637,370 : x
  2. Step 2: Convert to fraction form
    295,790/637,370 = 637,370/x
  3. Step 3: Cross multiply
    295,790x = 637,370 × 637,370
  4. Step 4: Simplify right side
    295,790x = 406,240,516,900
  5. Step 5: Solve for x
    x = 406,240,516,900/295,790
  6. Step 6: Final answer
    x = 1,373,408.56

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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.