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Finding the Third Proportional to 304,893 and 633,979.13

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Solution

The third proportional to 304,893 and 633,979.13 is: 1,318,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,893 : 633,979.13 = 633,979.13 : x
  2. Step 2: Convert to fraction form
    304,893/633,979.13 = 633,979.13/x
  3. Step 3: Cross multiply
    304,893x = 633,979.13 × 633,979.13
  4. Step 4: Simplify right side
    304,893x = 401,929,530,935.77
  5. Step 5: Solve for x
    x = 401,929,530,935.77/304,893
  6. Step 6: Final answer
    x = 1,318,264.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.