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Finding the Third Proportional to 360,926 and 783,324

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Solution

The third proportional to 360,926 and 783,324 is: 1,700,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,926 : 783,324 = 783,324 : x
  2. Step 2: Convert to fraction form
    360,926/783,324 = 783,324/x
  3. Step 3: Cross multiply
    360,926x = 783,324 × 783,324
  4. Step 4: Simplify right side
    360,926x = 613,596,488,976
  5. Step 5: Solve for x
    x = 613,596,488,976/360,926
  6. Step 6: Final answer
    x = 1,700,061.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.