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Finding the Third Proportional to 324,544.50 and 708,138

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Solution

The third proportional to 324,544.50 and 708,138 is: 1,545,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,544.50 : 708,138 = 708,138 : x
  2. Step 2: Convert to fraction form
    324,544.50/708,138 = 708,138/x
  3. Step 3: Cross multiply
    324,544.50x = 708,138 × 708,138
  4. Step 4: Simplify right side
    324,544.50x = 501,459,427,044
  5. Step 5: Solve for x
    x = 501,459,427,044/324,544.50
  6. Step 6: Final answer
    x = 1,545,117.62

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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.