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Finding the Third Proportional to 440,354.25 and 612,723.38

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Solution

The third proportional to 440,354.25 and 612,723.38 is: 852,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,354.25 : 612,723.38 = 612,723.38 : x
  2. Step 2: Convert to fraction form
    440,354.25/612,723.38 = 612,723.38/x
  3. Step 3: Cross multiply
    440,354.25x = 612,723.38 × 612,723.38
  4. Step 4: Simplify right side
    440,354.25x = 375,429,934,271.39
  5. Step 5: Solve for x
    x = 375,429,934,271.39/440,354.25
  6. Step 6: Final answer
    x = 852,563.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.