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Finding the Third Proportional to 448,216 and 664,304

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Solution

The third proportional to 448,216 and 664,304 is: 984,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,216 : 664,304 = 664,304 : x
  2. Step 2: Convert to fraction form
    448,216/664,304 = 664,304/x
  3. Step 3: Cross multiply
    448,216x = 664,304 × 664,304
  4. Step 4: Simplify right side
    448,216x = 441,299,804,416
  5. Step 5: Solve for x
    x = 441,299,804,416/448,216
  6. Step 6: Final answer
    x = 984,569.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.