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Finding the Third Proportional to 403,861 and 627,097.50

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Solution

The third proportional to 403,861 and 627,097.50 is: 973,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,861 : 627,097.50 = 627,097.50 : x
  2. Step 2: Convert to fraction form
    403,861/627,097.50 = 627,097.50/x
  3. Step 3: Cross multiply
    403,861x = 627,097.50 × 627,097.50
  4. Step 4: Simplify right side
    403,861x = 393,251,274,506.25
  5. Step 5: Solve for x
    x = 393,251,274,506.25/403,861
  6. Step 6: Final answer
    x = 973,729.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.