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Finding the Third Proportional to 213,664.08 and 455,926.85

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Solution

The third proportional to 213,664.08 and 455,926.85 is: 972,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,664.08 : 455,926.85 = 455,926.85 : x
  2. Step 2: Convert to fraction form
    213,664.08/455,926.85 = 455,926.85/x
  3. Step 3: Cross multiply
    213,664.08x = 455,926.85 × 455,926.85
  4. Step 4: Simplify right side
    213,664.08x = 207,869,293,975.69
  5. Step 5: Solve for x
    x = 207,869,293,975.69/213,664.08
  6. Step 6: Final answer
    x = 972,879.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.