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Finding the Third Proportional to 306,802 and 464,955

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Solution

The third proportional to 306,802 and 464,955 is: 704,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,802 : 464,955 = 464,955 : x
  2. Step 2: Convert to fraction form
    306,802/464,955 = 464,955/x
  3. Step 3: Cross multiply
    306,802x = 464,955 × 464,955
  4. Step 4: Simplify right side
    306,802x = 216,183,152,025
  5. Step 5: Solve for x
    x = 216,183,152,025/306,802
  6. Step 6: Final answer
    x = 704,634.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.