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Finding the Third Proportional to 205,550 and 457,813

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Solution

The third proportional to 205,550 and 457,813 is: 1,019,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,550 : 457,813 = 457,813 : x
  2. Step 2: Convert to fraction form
    205,550/457,813 = 457,813/x
  3. Step 3: Cross multiply
    205,550x = 457,813 × 457,813
  4. Step 4: Simplify right side
    205,550x = 209,592,742,969
  5. Step 5: Solve for x
    x = 209,592,742,969/205,550
  6. Step 6: Final answer
    x = 1,019,667.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.