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Finding the Third Proportional to 401,004,128.25 and 638,076,386.25

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Solution

The third proportional to 401,004,128.25 and 638,076,386.25 is: 1,015,304,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004,128.25 : 638,076,386.25 = 638,076,386.25 : x
  2. Step 2: Convert to fraction form
    401,004,128.25/638,076,386.25 = 638,076,386.25/x
  3. Step 3: Cross multiply
    401,004,128.25x = 638,076,386.25 × 638,076,386.25
  4. Step 4: Simplify right side
    401,004,128.25x = 407,141,474,689,859,200
  5. Step 5: Solve for x
    x = 407,141,474,689,859,200/401,004,128.25
  6. Step 6: Final answer
    x = 1,015,304,945.78

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