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Finding the Third Proportional to 369,022.50 and 550,685.81

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Solution

The third proportional to 369,022.50 and 550,685.81 is: 821,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,022.50 : 550,685.81 = 550,685.81 : x
  2. Step 2: Convert to fraction form
    369,022.50/550,685.81 = 550,685.81/x
  3. Step 3: Cross multiply
    369,022.50x = 550,685.81 × 550,685.81
  4. Step 4: Simplify right side
    369,022.50x = 303,254,864,088.79
  5. Step 5: Solve for x
    x = 303,254,864,088.79/369,022.50
  6. Step 6: Final answer
    x = 821,778.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.