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Finding the Third Proportional to 402,230.25 and 623,211.75

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Solution

The third proportional to 402,230.25 and 623,211.75 is: 965,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,230.25 : 623,211.75 = 623,211.75 : x
  2. Step 2: Convert to fraction form
    402,230.25/623,211.75 = 623,211.75/x
  3. Step 3: Cross multiply
    402,230.25x = 623,211.75 × 623,211.75
  4. Step 4: Simplify right side
    402,230.25x = 388,392,885,338.06
  5. Step 5: Solve for x
    x = 388,392,885,338.06/402,230.25
  6. Step 6: Final answer
    x = 965,598.40

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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.