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Finding the Third Proportional to 213,592 and 454,792

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Solution

The third proportional to 213,592 and 454,792 is: 968,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,592 : 454,792 = 454,792 : x
  2. Step 2: Convert to fraction form
    213,592/454,792 = 454,792/x
  3. Step 3: Cross multiply
    213,592x = 454,792 × 454,792
  4. Step 4: Simplify right side
    213,592x = 206,835,763,264
  5. Step 5: Solve for x
    x = 206,835,763,264/213,592
  6. Step 6: Final answer
    x = 968,368.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.