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Finding the Third Proportional to 262,917,256 and 567,404,304

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Solution

The third proportional to 262,917,256 and 567,404,304 is: 1,224,520,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,917,256 : 567,404,304 = 567,404,304 : x
  2. Step 2: Convert to fraction form
    262,917,256/567,404,304 = 567,404,304/x
  3. Step 3: Cross multiply
    262,917,256x = 567,404,304 × 567,404,304
  4. Step 4: Simplify right side
    262,917,256x = 321,947,644,197,724,416
  5. Step 5: Solve for x
    x = 321,947,644,197,724,416/262,917,256
  6. Step 6: Final answer
    x = 1,224,520,783.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.