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Finding the Third Proportional to 239,305,752 and 520,540,348

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Solution

The third proportional to 239,305,752 and 520,540,348 is: 1,132,284,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,305,752 : 520,540,348 = 520,540,348 : x
  2. Step 2: Convert to fraction form
    239,305,752/520,540,348 = 520,540,348/x
  3. Step 3: Cross multiply
    239,305,752x = 520,540,348 × 520,540,348
  4. Step 4: Simplify right side
    239,305,752x = 270,962,253,895,961,088
  5. Step 5: Solve for x
    x = 270,962,253,895,961,088/239,305,752
  6. Step 6: Final answer
    x = 1,132,284,751.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.