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Finding the Third Proportional to 216,744.06 and 465,445.69

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Solution

The third proportional to 216,744.06 and 465,445.69 is: 999,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,744.06 : 465,445.69 = 465,445.69 : x
  2. Step 2: Convert to fraction form
    216,744.06/465,445.69 = 465,445.69/x
  3. Step 3: Cross multiply
    216,744.06x = 465,445.69 × 465,445.69
  4. Step 4: Simplify right side
    216,744.06x = 216,639,688,012.35
  5. Step 5: Solve for x
    x = 216,639,688,012.35/216,744.06
  6. Step 6: Final answer
    x = 999,518.44

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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.