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Finding the Third Proportional to 323,740.50 and 490,165.50

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Solution

The third proportional to 323,740.50 and 490,165.50 is: 742,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,740.50 : 490,165.50 = 490,165.50 : x
  2. Step 2: Convert to fraction form
    323,740.50/490,165.50 = 490,165.50/x
  3. Step 3: Cross multiply
    323,740.50x = 490,165.50 × 490,165.50
  4. Step 4: Simplify right side
    323,740.50x = 240,262,217,390.25
  5. Step 5: Solve for x
    x = 240,262,217,390.25/323,740.50
  6. Step 6: Final answer
    x = 742,144.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.