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Finding the Third Proportional to 200,430 and 466,083

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Solution

The third proportional to 200,430 and 466,083 is: 1,083,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,430 : 466,083 = 466,083 : x
  2. Step 2: Convert to fraction form
    200,430/466,083 = 466,083/x
  3. Step 3: Cross multiply
    200,430x = 466,083 × 466,083
  4. Step 4: Simplify right side
    200,430x = 217,233,362,889
  5. Step 5: Solve for x
    x = 217,233,362,889/200,430
  6. Step 6: Final answer
    x = 1,083,836.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.