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Finding the Third Proportional to 235,305 and 514,350

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Solution

The third proportional to 235,305 and 514,350 is: 1,124,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,305 : 514,350 = 514,350 : x
  2. Step 2: Convert to fraction form
    235,305/514,350 = 514,350/x
  3. Step 3: Cross multiply
    235,305x = 514,350 × 514,350
  4. Step 4: Simplify right side
    235,305x = 264,555,922,500
  5. Step 5: Solve for x
    x = 264,555,922,500/235,305
  6. Step 6: Final answer
    x = 1,124,310.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.