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Finding the Third Proportional to 304,300 and 617,816

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Solution

The third proportional to 304,300 and 617,816 is: 1,254,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,300 : 617,816 = 617,816 : x
  2. Step 2: Convert to fraction form
    304,300/617,816 = 617,816/x
  3. Step 3: Cross multiply
    304,300x = 617,816 × 617,816
  4. Step 4: Simplify right side
    304,300x = 381,696,609,856
  5. Step 5: Solve for x
    x = 381,696,609,856/304,300
  6. Step 6: Final answer
    x = 1,254,343.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.