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Finding the Third Proportional to 221,976 and 484,506

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Solution

The third proportional to 221,976 and 484,506 is: 1,057,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,976 : 484,506 = 484,506 : x
  2. Step 2: Convert to fraction form
    221,976/484,506 = 484,506/x
  3. Step 3: Cross multiply
    221,976x = 484,506 × 484,506
  4. Step 4: Simplify right side
    221,976x = 234,746,064,036
  5. Step 5: Solve for x
    x = 234,746,064,036/221,976
  6. Step 6: Final answer
    x = 1,057,529.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.