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Finding the Third Proportional to 464,540.06 and 717,933.94

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Solution

The third proportional to 464,540.06 and 717,933.94 is: 1,109,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,540.06 : 717,933.94 = 717,933.94 : x
  2. Step 2: Convert to fraction form
    464,540.06/717,933.94 = 717,933.94/x
  3. Step 3: Cross multiply
    464,540.06x = 717,933.94 × 717,933.94
  4. Step 4: Simplify right side
    464,540.06x = 515,429,138,614.25
  5. Step 5: Solve for x
    x = 515,429,138,614.25/464,540.06
  6. Step 6: Final answer
    x = 1,109,547.23

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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.