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Finding the Third Proportional to 366,951 and 788,155

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Solution

The third proportional to 366,951 and 788,155 is: 1,692,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,951 : 788,155 = 788,155 : x
  2. Step 2: Convert to fraction form
    366,951/788,155 = 788,155/x
  3. Step 3: Cross multiply
    366,951x = 788,155 × 788,155
  4. Step 4: Simplify right side
    366,951x = 621,188,304,025
  5. Step 5: Solve for x
    x = 621,188,304,025/366,951
  6. Step 6: Final answer
    x = 1,692,837.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.