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Finding the Third Proportional to 265,723.50 and 403,506.75

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Solution

The third proportional to 265,723.50 and 403,506.75 is: 612,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,723.50 : 403,506.75 = 403,506.75 : x
  2. Step 2: Convert to fraction form
    265,723.50/403,506.75 = 403,506.75/x
  3. Step 3: Cross multiply
    265,723.50x = 403,506.75 × 403,506.75
  4. Step 4: Simplify right side
    265,723.50x = 162,817,697,295.56
  5. Step 5: Solve for x
    x = 162,817,697,295.56/265,723.50
  6. Step 6: Final answer
    x = 612,733.53

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Why These Related Problems?

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