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Finding the Third Proportional to 464,115 and 718,029

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Solution

The third proportional to 464,115 and 718,029 is: 1,110,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,115 : 718,029 = 718,029 : x
  2. Step 2: Convert to fraction form
    464,115/718,029 = 718,029/x
  3. Step 3: Cross multiply
    464,115x = 718,029 × 718,029
  4. Step 4: Simplify right side
    464,115x = 515,565,644,841
  5. Step 5: Solve for x
    x = 515,565,644,841/464,115
  6. Step 6: Final answer
    x = 1,110,857.53

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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.