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Finding the Third Proportional to 304,893 and 452,918.25

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Solution

The third proportional to 304,893 and 452,918.25 is: 672,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,893 : 452,918.25 = 452,918.25 : x
  2. Step 2: Convert to fraction form
    304,893/452,918.25 = 452,918.25/x
  3. Step 3: Cross multiply
    304,893x = 452,918.25 × 452,918.25
  4. Step 4: Simplify right side
    304,893x = 205,134,941,183.06
  5. Step 5: Solve for x
    x = 205,134,941,183.06/304,893
  6. Step 6: Final answer
    x = 672,809.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.