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Finding the Third Proportional to 380,598.75 and 566,797.50

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Solution

The third proportional to 380,598.75 and 566,797.50 is: 844,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,598.75 : 566,797.50 = 566,797.50 : x
  2. Step 2: Convert to fraction form
    380,598.75/566,797.50 = 566,797.50/x
  3. Step 3: Cross multiply
    380,598.75x = 566,797.50 × 566,797.50
  4. Step 4: Simplify right side
    380,598.75x = 321,259,406,006.25
  5. Step 5: Solve for x
    x = 321,259,406,006.25/380,598.75
  6. Step 6: Final answer
    x = 844,089.49

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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.