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Finding the Third Proportional to 464,916 and 718,101

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Solution

The third proportional to 464,916 and 718,101 is: 1,109,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,916 : 718,101 = 718,101 : x
  2. Step 2: Convert to fraction form
    464,916/718,101 = 718,101/x
  3. Step 3: Cross multiply
    464,916x = 718,101 × 718,101
  4. Step 4: Simplify right side
    464,916x = 515,669,046,201
  5. Step 5: Solve for x
    x = 515,669,046,201/464,916
  6. Step 6: Final answer
    x = 1,109,166.06

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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.