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Finding the Third Proportional to 365,415,224 and 538,029,588

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Solution

The third proportional to 365,415,224 and 538,029,588 is: 792,183,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,415,224 : 538,029,588 = 538,029,588 : x
  2. Step 2: Convert to fraction form
    365,415,224/538,029,588 = 538,029,588/x
  3. Step 3: Cross multiply
    365,415,224x = 538,029,588 × 538,029,588
  4. Step 4: Simplify right side
    365,415,224x = 289,475,837,563,449,728
  5. Step 5: Solve for x
    x = 289,475,837,563,449,728/365,415,224
  6. Step 6: Final answer
    x = 792,183,298.75

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