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Finding the Third Proportional to 299,122 and 640,284

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Solution

The third proportional to 299,122 and 640,284 is: 1,370,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,122 : 640,284 = 640,284 : x
  2. Step 2: Convert to fraction form
    299,122/640,284 = 640,284/x
  3. Step 3: Cross multiply
    299,122x = 640,284 × 640,284
  4. Step 4: Simplify right side
    299,122x = 409,963,600,656
  5. Step 5: Solve for x
    x = 409,963,600,656/299,122
  6. Step 6: Final answer
    x = 1,370,556.50

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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.