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Finding the Third Proportional to 324,424.50 and 696,802.50

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Solution

The third proportional to 324,424.50 and 696,802.50 is: 1,496,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,424.50 : 696,802.50 = 696,802.50 : x
  2. Step 2: Convert to fraction form
    324,424.50/696,802.50 = 696,802.50/x
  3. Step 3: Cross multiply
    324,424.50x = 696,802.50 × 696,802.50
  4. Step 4: Simplify right side
    324,424.50x = 485,533,724,006.25
  5. Step 5: Solve for x
    x = 485,533,724,006.25/324,424.50
  6. Step 6: Final answer
    x = 1,496,600.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.