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Finding the Third Proportional to 387,863 and 600,226.50

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Solution

The third proportional to 387,863 and 600,226.50 is: 928,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,863 : 600,226.50 = 600,226.50 : x
  2. Step 2: Convert to fraction form
    387,863/600,226.50 = 600,226.50/x
  3. Step 3: Cross multiply
    387,863x = 600,226.50 × 600,226.50
  4. Step 4: Simplify right side
    387,863x = 360,271,851,302.25
  5. Step 5: Solve for x
    x = 360,271,851,302.25/387,863
  6. Step 6: Final answer
    x = 928,863.67

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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.