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Finding the Third Proportional to 304,136 and 444,648

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Solution

The third proportional to 304,136 and 444,648 is: 650,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,136 : 444,648 = 444,648 : x
  2. Step 2: Convert to fraction form
    304,136/444,648 = 444,648/x
  3. Step 3: Cross multiply
    304,136x = 444,648 × 444,648
  4. Step 4: Simplify right side
    304,136x = 197,711,843,904
  5. Step 5: Solve for x
    x = 197,711,843,904/304,136
  6. Step 6: Final answer
    x = 650,077.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.