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Finding the Third Proportional to 401,004,148 and 638,076,414

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Solution

The third proportional to 401,004,148 and 638,076,414 is: 1,015,304,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004,148 : 638,076,414 = 638,076,414 : x
  2. Step 2: Convert to fraction form
    401,004,148/638,076,414 = 638,076,414/x
  3. Step 3: Cross multiply
    401,004,148x = 638,076,414 × 638,076,414
  4. Step 4: Simplify right side
    401,004,148x = 407,141,510,103,099,392
  5. Step 5: Solve for x
    x = 407,141,510,103,099,392/401,004,148
  6. Step 6: Final answer
    x = 1,015,304,984.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.