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Finding the Third Proportional to 213,058.69 and 455,667.19

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Solution

The third proportional to 213,058.69 and 455,667.19 is: 974,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,058.69 : 455,667.19 = 455,667.19 : x
  2. Step 2: Convert to fraction form
    213,058.69/455,667.19 = 455,667.19/x
  3. Step 3: Cross multiply
    213,058.69x = 455,667.19 × 455,667.19
  4. Step 4: Simplify right side
    213,058.69x = 207,632,585,764.16
  5. Step 5: Solve for x
    x = 207,632,585,764.16/213,058.69
  6. Step 6: Final answer
    x = 974,532.36

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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.