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Finding the Third Proportional to 304,764 and 464,884

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Solution

The third proportional to 304,764 and 464,884 is: 709,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,764 : 464,884 = 464,884 : x
  2. Step 2: Convert to fraction form
    304,764/464,884 = 464,884/x
  3. Step 3: Cross multiply
    304,764x = 464,884 × 464,884
  4. Step 4: Simplify right side
    304,764x = 216,117,133,456
  5. Step 5: Solve for x
    x = 216,117,133,456/304,764
  6. Step 6: Final answer
    x = 709,129.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.