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Finding the Third Proportional to 299,310 and 665,051

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Solution

The third proportional to 299,310 and 665,051 is: 1,477,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,310 : 665,051 = 665,051 : x
  2. Step 2: Convert to fraction form
    299,310/665,051 = 665,051/x
  3. Step 3: Cross multiply
    299,310x = 665,051 × 665,051
  4. Step 4: Simplify right side
    299,310x = 442,292,832,601
  5. Step 5: Solve for x
    x = 442,292,832,601/299,310
  6. Step 6: Final answer
    x = 1,477,708.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.