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Finding the Third Proportional to 464,873 and 717,814

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Solution

The third proportional to 464,873 and 717,814 is: 1,108,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,873 : 717,814 = 717,814 : x
  2. Step 2: Convert to fraction form
    464,873/717,814 = 717,814/x
  3. Step 3: Cross multiply
    464,873x = 717,814 × 717,814
  4. Step 4: Simplify right side
    464,873x = 515,256,938,596
  5. Step 5: Solve for x
    x = 515,256,938,596/464,873
  6. Step 6: Final answer
    x = 1,108,382.16

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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.