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Finding the Third Proportional to 411,003.75 and 900,577.50

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Solution

The third proportional to 411,003.75 and 900,577.50 is: 1,973,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,003.75 : 900,577.50 = 900,577.50 : x
  2. Step 2: Convert to fraction form
    411,003.75/900,577.50 = 900,577.50/x
  3. Step 3: Cross multiply
    411,003.75x = 900,577.50 × 900,577.50
  4. Step 4: Simplify right side
    411,003.75x = 811,039,833,506.25
  5. Step 5: Solve for x
    x = 811,039,833,506.25/411,003.75
  6. Step 6: Final answer
    x = 1,973,314.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.