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Finding the Third Proportional to 208,032 and 458,560

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Solution

The third proportional to 208,032 and 458,560 is: 1,010,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032 : 458,560 = 458,560 : x
  2. Step 2: Convert to fraction form
    208,032/458,560 = 458,560/x
  3. Step 3: Cross multiply
    208,032x = 458,560 × 458,560
  4. Step 4: Simplify right side
    208,032x = 210,277,273,600
  5. Step 5: Solve for x
    x = 210,277,273,600/208,032
  6. Step 6: Final answer
    x = 1,010,792.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.