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Finding the Third Proportional to 299,430 and 640,348

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Solution

The third proportional to 299,430 and 640,348 is: 1,369,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,430 : 640,348 = 640,348 : x
  2. Step 2: Convert to fraction form
    299,430/640,348 = 640,348/x
  3. Step 3: Cross multiply
    299,430x = 640,348 × 640,348
  4. Step 4: Simplify right side
    299,430x = 410,045,561,104
  5. Step 5: Solve for x
    x = 410,045,561,104/299,430
  6. Step 6: Final answer
    x = 1,369,420.44

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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.