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Finding the Third Proportional to 307,298 and 668,452

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Solution

The third proportional to 307,298 and 668,452 is: 1,454,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,298 : 668,452 = 668,452 : x
  2. Step 2: Convert to fraction form
    307,298/668,452 = 668,452/x
  3. Step 3: Cross multiply
    307,298x = 668,452 × 668,452
  4. Step 4: Simplify right side
    307,298x = 446,828,076,304
  5. Step 5: Solve for x
    x = 446,828,076,304/307,298
  6. Step 6: Final answer
    x = 1,454,054.62

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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.