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Finding the Third Proportional to 464,866 and 717,803

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Solution

The third proportional to 464,866 and 717,803 is: 1,108,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,866 : 717,803 = 717,803 : x
  2. Step 2: Convert to fraction form
    464,866/717,803 = 717,803/x
  3. Step 3: Cross multiply
    464,866x = 717,803 × 717,803
  4. Step 4: Simplify right side
    464,866x = 515,241,146,809
  5. Step 5: Solve for x
    x = 515,241,146,809/464,866
  6. Step 6: Final answer
    x = 1,108,364.88

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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.