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Finding the Third Proportional to 299,111 and 640,259

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Solution

The third proportional to 299,111 and 640,259 is: 1,370,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,111 : 640,259 = 640,259 : x
  2. Step 2: Convert to fraction form
    299,111/640,259 = 640,259/x
  3. Step 3: Cross multiply
    299,111x = 640,259 × 640,259
  4. Step 4: Simplify right side
    299,111x = 409,931,587,081
  5. Step 5: Solve for x
    x = 409,931,587,081/299,111
  6. Step 6: Final answer
    x = 1,370,499.87

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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.