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Finding the Third Proportional to 327,076,269.75 and 717,703,335

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Solution

The third proportional to 327,076,269.75 and 717,703,335 is: 1,574,856,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,076,269.75 : 717,703,335 = 717,703,335 : x
  2. Step 2: Convert to fraction form
    327,076,269.75/717,703,335 = 717,703,335/x
  3. Step 3: Cross multiply
    327,076,269.75x = 717,703,335 × 717,703,335
  4. Step 4: Simplify right side
    327,076,269.75x = 515,098,077,070,122,240
  5. Step 5: Solve for x
    x = 515,098,077,070,122,240/327,076,269.75
  6. Step 6: Final answer
    x = 1,574,856,156.53

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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.