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Finding the Third Proportional to 464,946.33 and 718,137.14

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Solution

The third proportional to 464,946.33 and 718,137.14 is: 1,109,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,946.33 : 718,137.14 = 718,137.14 : x
  2. Step 2: Convert to fraction form
    464,946.33/718,137.14 = 718,137.14/x
  3. Step 3: Cross multiply
    464,946.33x = 718,137.14 × 718,137.14
  4. Step 4: Simplify right side
    464,946.33x = 515,720,952,745.05
  5. Step 5: Solve for x
    x = 515,720,952,745.05/464,946.33
  6. Step 6: Final answer
    x = 1,109,205.35

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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.