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Finding the Third Proportional to 264,419.44 and 402,827.63

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Solution

The third proportional to 264,419.44 and 402,827.63 is: 613,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,419.44 : 402,827.63 = 402,827.63 : x
  2. Step 2: Convert to fraction form
    264,419.44/402,827.63 = 402,827.63/x
  3. Step 3: Cross multiply
    264,419.44x = 402,827.63 × 402,827.63
  4. Step 4: Simplify right side
    264,419.44x = 162,270,095,463.14
  5. Step 5: Solve for x
    x = 162,270,095,463.14/264,419.44
  6. Step 6: Final answer
    x = 613,684.44

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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.