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Finding the Third Proportional to 193,504 and 455,320

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Solution

The third proportional to 193,504 and 455,320 is: 1,071,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,504 : 455,320 = 455,320 : x
  2. Step 2: Convert to fraction form
    193,504/455,320 = 455,320/x
  3. Step 3: Cross multiply
    193,504x = 455,320 × 455,320
  4. Step 4: Simplify right side
    193,504x = 207,316,302,400
  5. Step 5: Solve for x
    x = 207,316,302,400/193,504
  6. Step 6: Final answer
    x = 1,071,379.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.