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Finding the Third Proportional to 362,783.81 and 768,810.23

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Solution

The third proportional to 362,783.81 and 768,810.23 is: 1,629,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,783.81 : 768,810.23 = 768,810.23 : x
  2. Step 2: Convert to fraction form
    362,783.81/768,810.23 = 768,810.23/x
  3. Step 3: Cross multiply
    362,783.81x = 768,810.23 × 768,810.23
  4. Step 4: Simplify right side
    362,783.81x = 591,069,176,479.74
  5. Step 5: Solve for x
    x = 591,069,176,479.74/362,783.81
  6. Step 6: Final answer
    x = 1,629,260.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.