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Finding the Third Proportional to 464,955 and 718,149

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Solution

The third proportional to 464,955 and 718,149 is: 1,109,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,955 : 718,149 = 718,149 : x
  2. Step 2: Convert to fraction form
    464,955/718,149 = 718,149/x
  3. Step 3: Cross multiply
    464,955x = 718,149 × 718,149
  4. Step 4: Simplify right side
    464,955x = 515,737,986,201
  5. Step 5: Solve for x
    x = 515,737,986,201/464,955
  6. Step 6: Final answer
    x = 1,109,221.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.