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Finding the Third Proportional to 464,816.26 and 718,243.29

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Solution

The third proportional to 464,816.26 and 718,243.29 is: 1,109,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,816.26 : 718,243.29 = 718,243.29 : x
  2. Step 2: Convert to fraction form
    464,816.26/718,243.29 = 718,243.29/x
  3. Step 3: Cross multiply
    464,816.26x = 718,243.29 × 718,243.29
  4. Step 4: Simplify right side
    464,816.26x = 515,873,423,598.48
  5. Step 5: Solve for x
    x = 515,873,423,598.48/464,816.26
  6. Step 6: Final answer
    x = 1,109,843.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.