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Finding the Third Proportional to 464,116 and 718,031

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Solution

The third proportional to 464,116 and 718,031 is: 1,110,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,116 : 718,031 = 718,031 : x
  2. Step 2: Convert to fraction form
    464,116/718,031 = 718,031/x
  3. Step 3: Cross multiply
    464,116x = 718,031 × 718,031
  4. Step 4: Simplify right side
    464,116x = 515,568,516,961
  5. Step 5: Solve for x
    x = 515,568,516,961/464,116
  6. Step 6: Final answer
    x = 1,110,861.33

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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.