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Finding the Third Proportional to 367,044 and 778,154

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Solution

The third proportional to 367,044 and 778,154 is: 1,649,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,044 : 778,154 = 778,154 : x
  2. Step 2: Convert to fraction form
    367,044/778,154 = 778,154/x
  3. Step 3: Cross multiply
    367,044x = 778,154 × 778,154
  4. Step 4: Simplify right side
    367,044x = 605,523,647,716
  5. Step 5: Solve for x
    x = 605,523,647,716/367,044
  6. Step 6: Final answer
    x = 1,649,730.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.