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Finding the Third Proportional to 497,727.09 and 768,594.05

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Solution

The third proportional to 497,727.09 and 768,594.05 is: 1,186,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,727.09 : 768,594.05 = 768,594.05 : x
  2. Step 2: Convert to fraction form
    497,727.09/768,594.05 = 768,594.05/x
  3. Step 3: Cross multiply
    497,727.09x = 768,594.05 × 768,594.05
  4. Step 4: Simplify right side
    497,727.09x = 590,736,808,891.69
  5. Step 5: Solve for x
    x = 590,736,808,891.69/497,727.09
  6. Step 6: Final answer
    x = 1,186,868.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.