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Finding the Third Proportional to 390,468.75 and 603,399.75

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Solution

The third proportional to 390,468.75 and 603,399.75 is: 932,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,468.75 : 603,399.75 = 603,399.75 : x
  2. Step 2: Convert to fraction form
    390,468.75/603,399.75 = 603,399.75/x
  3. Step 3: Cross multiply
    390,468.75x = 603,399.75 × 603,399.75
  4. Step 4: Simplify right side
    390,468.75x = 364,091,258,300.06
  5. Step 5: Solve for x
    x = 364,091,258,300.06/390,468.75
  6. Step 6: Final answer
    x = 932,446.60

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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.