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Finding the Third Proportional to 208,160 and 457,792

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Solution

The third proportional to 208,160 and 457,792 is: 1,006,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,160 : 457,792 = 457,792 : x
  2. Step 2: Convert to fraction form
    208,160/457,792 = 457,792/x
  3. Step 3: Cross multiply
    208,160x = 457,792 × 457,792
  4. Step 4: Simplify right side
    208,160x = 209,573,515,264
  5. Step 5: Solve for x
    x = 209,573,515,264/208,160
  6. Step 6: Final answer
    x = 1,006,790.52

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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.