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Finding the Third Proportional to 295,404 and 601,651.50

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Solution

The third proportional to 295,404 and 601,651.50 is: 1,225,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,404 : 601,651.50 = 601,651.50 : x
  2. Step 2: Convert to fraction form
    295,404/601,651.50 = 601,651.50/x
  3. Step 3: Cross multiply
    295,404x = 601,651.50 × 601,651.50
  4. Step 4: Simplify right side
    295,404x = 361,984,527,452.25
  5. Step 5: Solve for x
    x = 361,984,527,452.25/295,404
  6. Step 6: Final answer
    x = 1,225,388.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.