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Finding the Third Proportional to 566,806.50 and 1,197,594

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Solution

The third proportional to 566,806.50 and 1,197,594 is: 2,530,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,806.50 : 1,197,594 = 1,197,594 : x
  2. Step 2: Convert to fraction form
    566,806.50/1,197,594 = 1,197,594/x
  3. Step 3: Cross multiply
    566,806.50x = 1,197,594 × 1,197,594
  4. Step 4: Simplify right side
    566,806.50x = 1,434,231,388,836
  5. Step 5: Solve for x
    x = 1,434,231,388,836/566,806.50
  6. Step 6: Final answer
    x = 2,530,372.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.