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Finding the Third Proportional to 272,738,360 and 596,494,084

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Solution

The third proportional to 272,738,360 and 596,494,084 is: 1,304,566,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,738,360 : 596,494,084 = 596,494,084 : x
  2. Step 2: Convert to fraction form
    272,738,360/596,494,084 = 596,494,084/x
  3. Step 3: Cross multiply
    272,738,360x = 596,494,084 × 596,494,084
  4. Step 4: Simplify right side
    272,738,360x = 355,805,192,246,999,040
  5. Step 5: Solve for x
    x = 355,805,192,246,999,040/272,738,360
  6. Step 6: Final answer
    x = 1,304,566,003.28

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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.