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Finding the Third Proportional to 313,342 and 643,272

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Solution

The third proportional to 313,342 and 643,272 is: 1,320,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,342 : 643,272 = 643,272 : x
  2. Step 2: Convert to fraction form
    313,342/643,272 = 643,272/x
  3. Step 3: Cross multiply
    313,342x = 643,272 × 643,272
  4. Step 4: Simplify right side
    313,342x = 413,798,865,984
  5. Step 5: Solve for x
    x = 413,798,865,984/313,342
  6. Step 6: Final answer
    x = 1,320,598.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.