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Finding the Third Proportional to 296,163 and 649,971

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Solution

The third proportional to 296,163 and 649,971 is: 1,426,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,163 : 649,971 = 649,971 : x
  2. Step 2: Convert to fraction form
    296,163/649,971 = 649,971/x
  3. Step 3: Cross multiply
    296,163x = 649,971 × 649,971
  4. Step 4: Simplify right side
    296,163x = 422,462,300,841
  5. Step 5: Solve for x
    x = 422,462,300,841/296,163
  6. Step 6: Final answer
    x = 1,426,451.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.