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Finding the Third Proportional to 304,203 and 455,842.13

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Solution

The third proportional to 304,203 and 455,842.13 is: 683,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,203 : 455,842.13 = 455,842.13 : x
  2. Step 2: Convert to fraction form
    304,203/455,842.13 = 455,842.13/x
  3. Step 3: Cross multiply
    304,203x = 455,842.13 × 455,842.13
  4. Step 4: Simplify right side
    304,203x = 207,792,042,924.52
  5. Step 5: Solve for x
    x = 207,792,042,924.52/304,203
  6. Step 6: Final answer
    x = 683,070.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.