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Finding the Third Proportional to 464,869 and 717,808

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Solution

The third proportional to 464,869 and 717,808 is: 1,108,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,869 : 717,808 = 717,808 : x
  2. Step 2: Convert to fraction form
    464,869/717,808 = 717,808/x
  3. Step 3: Cross multiply
    464,869x = 717,808 × 717,808
  4. Step 4: Simplify right side
    464,869x = 515,248,324,864
  5. Step 5: Solve for x
    x = 515,248,324,864/464,869
  6. Step 6: Final answer
    x = 1,108,373.17

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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.