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Finding the Third Proportional to 440,074.50 and 965,685

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Solution

The third proportional to 440,074.50 and 965,685 is: 2,119,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,074.50 : 965,685 = 965,685 : x
  2. Step 2: Convert to fraction form
    440,074.50/965,685 = 965,685/x
  3. Step 3: Cross multiply
    440,074.50x = 965,685 × 965,685
  4. Step 4: Simplify right side
    440,074.50x = 932,547,519,225
  5. Step 5: Solve for x
    x = 932,547,519,225/440,074.50
  6. Step 6: Final answer
    x = 2,119,067.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.