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Finding the Third Proportional to 299,201 and 640,442

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Solution

The third proportional to 299,201 and 640,442 is: 1,370,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,201 : 640,442 = 640,442 : x
  2. Step 2: Convert to fraction form
    299,201/640,442 = 640,442/x
  3. Step 3: Cross multiply
    299,201x = 640,442 × 640,442
  4. Step 4: Simplify right side
    299,201x = 410,165,955,364
  5. Step 5: Solve for x
    x = 410,165,955,364/299,201
  6. Step 6: Final answer
    x = 1,370,870.94

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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.