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Finding the Third Proportional to 403,194 and 595,597.50

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Solution

The third proportional to 403,194 and 595,597.50 is: 879,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,194 : 595,597.50 = 595,597.50 : x
  2. Step 2: Convert to fraction form
    403,194/595,597.50 = 595,597.50/x
  3. Step 3: Cross multiply
    403,194x = 595,597.50 × 595,597.50
  4. Step 4: Simplify right side
    403,194x = 354,736,382,006.25
  5. Step 5: Solve for x
    x = 354,736,382,006.25/403,194
  6. Step 6: Final answer
    x = 879,815.63

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.