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Finding the Third Proportional to 372,919.50 and 578,468.25

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Solution

The third proportional to 372,919.50 and 578,468.25 is: 897,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,919.50 : 578,468.25 = 578,468.25 : x
  2. Step 2: Convert to fraction form
    372,919.50/578,468.25 = 578,468.25/x
  3. Step 3: Cross multiply
    372,919.50x = 578,468.25 × 578,468.25
  4. Step 4: Simplify right side
    372,919.50x = 334,625,516,258.06
  5. Step 5: Solve for x
    x = 334,625,516,258.06/372,919.50
  6. Step 6: Final answer
    x = 897,313.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.