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Finding the Third Proportional to 584,410.50 and 933,619.50

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Solution

The third proportional to 584,410.50 and 933,619.50 is: 1,491,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,410.50 : 933,619.50 = 933,619.50 : x
  2. Step 2: Convert to fraction form
    584,410.50/933,619.50 = 933,619.50/x
  3. Step 3: Cross multiply
    584,410.50x = 933,619.50 × 933,619.50
  4. Step 4: Simplify right side
    584,410.50x = 871,645,370,780.25
  5. Step 5: Solve for x
    x = 871,645,370,780.25/584,410.50
  6. Step 6: Final answer
    x = 1,491,495.05

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.