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Finding the Third Proportional to 295,776 and 637,344

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Solution

The third proportional to 295,776 and 637,344 is: 1,373,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,776 : 637,344 = 637,344 : x
  2. Step 2: Convert to fraction form
    295,776/637,344 = 637,344/x
  3. Step 3: Cross multiply
    295,776x = 637,344 × 637,344
  4. Step 4: Simplify right side
    295,776x = 406,207,374,336
  5. Step 5: Solve for x
    x = 406,207,374,336/295,776
  6. Step 6: Final answer
    x = 1,373,361.51

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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.