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Finding the Third Proportional to 207,772 and 448,348

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Solution

The third proportional to 207,772 and 448,348 is: 967,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,772 : 448,348 = 448,348 : x
  2. Step 2: Convert to fraction form
    207,772/448,348 = 448,348/x
  3. Step 3: Cross multiply
    207,772x = 448,348 × 448,348
  4. Step 4: Simplify right side
    207,772x = 201,015,929,104
  5. Step 5: Solve for x
    x = 201,015,929,104/207,772
  6. Step 6: Final answer
    x = 967,483.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.