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Finding the Third Proportional to 327,082,080 and 720,532,320

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Solution

The third proportional to 327,082,080 and 720,532,320 is: 1,587,267,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,082,080 : 720,532,320 = 720,532,320 : x
  2. Step 2: Convert to fraction form
    327,082,080/720,532,320 = 720,532,320/x
  3. Step 3: Cross multiply
    327,082,080x = 720,532,320 × 720,532,320
  4. Step 4: Simplify right side
    327,082,080x = 519,166,824,164,582,400
  5. Step 5: Solve for x
    x = 519,166,824,164,582,400/327,082,080
  6. Step 6: Final answer
    x = 1,587,267,710.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.