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Finding the Third Proportional to 387,742.50 and 558,465.75

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Solution

The third proportional to 387,742.50 and 558,465.75 is: 804,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,742.50 : 558,465.75 = 558,465.75 : x
  2. Step 2: Convert to fraction form
    387,742.50/558,465.75 = 558,465.75/x
  3. Step 3: Cross multiply
    387,742.50x = 558,465.75 × 558,465.75
  4. Step 4: Simplify right side
    387,742.50x = 311,883,993,923.06
  5. Step 5: Solve for x
    x = 311,883,993,923.06/387,742.50
  6. Step 6: Final answer
    x = 804,358.55

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.