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Finding the Third Proportional to 365,415,226 and 538,029,591

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Solution

The third proportional to 365,415,226 and 538,029,591 is: 792,183,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,415,226 : 538,029,591 = 538,029,591 : x
  2. Step 2: Convert to fraction form
    365,415,226/538,029,591 = 538,029,591/x
  3. Step 3: Cross multiply
    365,415,226x = 538,029,591 × 538,029,591
  4. Step 4: Simplify right side
    365,415,226x = 289,475,840,791,627,264
  5. Step 5: Solve for x
    x = 289,475,840,791,627,264/365,415,226
  6. Step 6: Final answer
    x = 792,183,303.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.