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Finding the Third Proportional to 299,250 and 639,971

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Solution

The third proportional to 299,250 and 639,971 is: 1,368,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,250 : 639,971 = 639,971 : x
  2. Step 2: Convert to fraction form
    299,250/639,971 = 639,971/x
  3. Step 3: Cross multiply
    299,250x = 639,971 × 639,971
  4. Step 4: Simplify right side
    299,250x = 409,562,880,841
  5. Step 5: Solve for x
    x = 409,562,880,841/299,250
  6. Step 6: Final answer
    x = 1,368,631.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.