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Finding the Third Proportional to 213,001.25 and 455,923.75

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Solution

The third proportional to 213,001.25 and 455,923.75 is: 975,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,001.25 : 455,923.75 = 455,923.75 : x
  2. Step 2: Convert to fraction form
    213,001.25/455,923.75 = 455,923.75/x
  3. Step 3: Cross multiply
    213,001.25x = 455,923.75 × 455,923.75
  4. Step 4: Simplify right side
    213,001.25x = 207,866,465,814.06
  5. Step 5: Solve for x
    x = 207,866,465,814.06/213,001.25
  6. Step 6: Final answer
    x = 975,893.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.