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Finding the Third Proportional to 497,577.75 and 1,066,141.50

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Solution

The third proportional to 497,577.75 and 1,066,141.50 is: 2,284,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,577.75 : 1,066,141.50 = 1,066,141.50 : x
  2. Step 2: Convert to fraction form
    497,577.75/1,066,141.50 = 1,066,141.50/x
  3. Step 3: Cross multiply
    497,577.75x = 1,066,141.50 × 1,066,141.50
  4. Step 4: Simplify right side
    497,577.75x = 1,136,657,698,022.25
  5. Step 5: Solve for x
    x = 1,136,657,698,022.25/497,577.75
  6. Step 6: Final answer
    x = 2,284,382.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.