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Finding the Third Proportional to 403,946.44 and 614,312.44

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Solution

The third proportional to 403,946.44 and 614,312.44 is: 934,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,946.44 : 614,312.44 = 614,312.44 : x
  2. Step 2: Convert to fraction form
    403,946.44/614,312.44 = 614,312.44/x
  3. Step 3: Cross multiply
    403,946.44x = 614,312.44 × 614,312.44
  4. Step 4: Simplify right side
    403,946.44x = 377,379,770,867.19
  5. Step 5: Solve for x
    x = 377,379,770,867.19/403,946.44
  6. Step 6: Final answer
    x = 934,232.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.