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Finding the Third Proportional to 327,076,304 and 717,703,396

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Solution

The third proportional to 327,076,304 and 717,703,396 is: 1,574,856,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,076,304 : 717,703,396 = 717,703,396 : x
  2. Step 2: Convert to fraction form
    327,076,304/717,703,396 = 717,703,396/x
  3. Step 3: Cross multiply
    327,076,304x = 717,703,396 × 717,703,396
  4. Step 4: Simplify right side
    327,076,304x = 515,098,164,629,932,800
  5. Step 5: Solve for x
    x = 515,098,164,629,932,800/327,076,304
  6. Step 6: Final answer
    x = 1,574,856,259.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.