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Finding the Third Proportional to 464,454 and 717,816

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Solution

The third proportional to 464,454 and 717,816 is: 1,109,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,454 : 717,816 = 717,816 : x
  2. Step 2: Convert to fraction form
    464,454/717,816 = 717,816/x
  3. Step 3: Cross multiply
    464,454x = 717,816 × 717,816
  4. Step 4: Simplify right side
    464,454x = 515,259,809,856
  5. Step 5: Solve for x
    x = 515,259,809,856/464,454
  6. Step 6: Final answer
    x = 1,109,388.25

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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.