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Finding the Third Proportional to 264,414.50 and 402,818

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Solution

The third proportional to 264,414.50 and 402,818 is: 613,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,414.50 : 402,818 = 402,818 : x
  2. Step 2: Convert to fraction form
    264,414.50/402,818 = 402,818/x
  3. Step 3: Cross multiply
    264,414.50x = 402,818 × 402,818
  4. Step 4: Simplify right side
    264,414.50x = 162,262,341,124
  5. Step 5: Solve for x
    x = 162,262,341,124/264,414.50
  6. Step 6: Final answer
    x = 613,666.58

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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.