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Finding the Third Proportional to 367,550 and 577,600

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Solution

The third proportional to 367,550 and 577,600 is: 907,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,550 : 577,600 = 577,600 : x
  2. Step 2: Convert to fraction form
    367,550/577,600 = 577,600/x
  3. Step 3: Cross multiply
    367,550x = 577,600 × 577,600
  4. Step 4: Simplify right side
    367,550x = 333,621,760,000
  5. Step 5: Solve for x
    x = 333,621,760,000/367,550
  6. Step 6: Final answer
    x = 907,690.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.