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Finding the Third Proportional to 272,800,544 and 584,415,808

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Solution

The third proportional to 272,800,544 and 584,415,808 is: 1,251,983,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,800,544 : 584,415,808 = 584,415,808 : x
  2. Step 2: Convert to fraction form
    272,800,544/584,415,808 = 584,415,808/x
  3. Step 3: Cross multiply
    272,800,544x = 584,415,808 × 584,415,808
  4. Step 4: Simplify right side
    272,800,544x = 341,541,836,640,292,864
  5. Step 5: Solve for x
    x = 341,541,836,640,292,864/272,800,544
  6. Step 6: Final answer
    x = 1,251,983,708.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.