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Finding the Third Proportional to 336,867.75 and 409,038.75

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Solution

The third proportional to 336,867.75 and 409,038.75 is: 496,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,867.75 : 409,038.75 = 409,038.75 : x
  2. Step 2: Convert to fraction form
    336,867.75/409,038.75 = 409,038.75/x
  3. Step 3: Cross multiply
    336,867.75x = 409,038.75 × 409,038.75
  4. Step 4: Simplify right side
    336,867.75x = 167,312,699,001.56
  5. Step 5: Solve for x
    x = 167,312,699,001.56/336,867.75
  6. Step 6: Final answer
    x = 496,671.76

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.