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Finding the Third Proportional to 265,431,917.25 and 412,122,807.56

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Solution

The third proportional to 265,431,917.25 and 412,122,807.56 is: 639,882,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,431,917.25 : 412,122,807.56 = 412,122,807.56 : x
  2. Step 2: Convert to fraction form
    265,431,917.25/412,122,807.56 = 412,122,807.56/x
  3. Step 3: Cross multiply
    265,431,917.25x = 412,122,807.56 × 412,122,807.56
  4. Step 4: Simplify right side
    265,431,917.25x = 169,845,208,513,197,408
  5. Step 5: Solve for x
    x = 169,845,208,513,197,408/265,431,917.25
  6. Step 6: Final answer
    x = 639,882,385.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.