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Finding the Third Proportional to 295,670 and 637,679

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Solution

The third proportional to 295,670 and 637,679 is: 1,375,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,670 : 637,679 = 637,679 : x
  2. Step 2: Convert to fraction form
    295,670/637,679 = 637,679/x
  3. Step 3: Cross multiply
    295,670x = 637,679 × 637,679
  4. Step 4: Simplify right side
    295,670x = 406,634,507,041
  5. Step 5: Solve for x
    x = 406,634,507,041/295,670
  6. Step 6: Final answer
    x = 1,375,298.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.