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Finding the Third Proportional to 336,291.75 and 514,289.25

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Solution

The third proportional to 336,291.75 and 514,289.25 is: 786,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,291.75 : 514,289.25 = 514,289.25 : x
  2. Step 2: Convert to fraction form
    336,291.75/514,289.25 = 514,289.25/x
  3. Step 3: Cross multiply
    336,291.75x = 514,289.25 × 514,289.25
  4. Step 4: Simplify right side
    336,291.75x = 264,493,432,665.56
  5. Step 5: Solve for x
    x = 264,493,432,665.56/336,291.75
  6. Step 6: Final answer
    x = 786,499.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.