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Finding the Third Proportional to 329,481.75 and 719,379

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Solution

The third proportional to 329,481.75 and 719,379 is: 1,570,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,481.75 : 719,379 = 719,379 : x
  2. Step 2: Convert to fraction form
    329,481.75/719,379 = 719,379/x
  3. Step 3: Cross multiply
    329,481.75x = 719,379 × 719,379
  4. Step 4: Simplify right side
    329,481.75x = 517,506,145,641
  5. Step 5: Solve for x
    x = 517,506,145,641/329,481.75
  6. Step 6: Final answer
    x = 1,570,667.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.