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Finding the Third Proportional to 304,749 and 464,859

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Solution

The third proportional to 304,749 and 464,859 is: 709,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,749 : 464,859 = 464,859 : x
  2. Step 2: Convert to fraction form
    304,749/464,859 = 464,859/x
  3. Step 3: Cross multiply
    304,749x = 464,859 × 464,859
  4. Step 4: Simplify right side
    304,749x = 216,093,889,881
  5. Step 5: Solve for x
    x = 216,093,889,881/304,749
  6. Step 6: Final answer
    x = 709,088.10

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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.