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Finding the Third Proportional to 363,258 and 566,963

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Solution

The third proportional to 363,258 and 566,963 is: 884,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,258 : 566,963 = 566,963 : x
  2. Step 2: Convert to fraction form
    363,258/566,963 = 566,963/x
  3. Step 3: Cross multiply
    363,258x = 566,963 × 566,963
  4. Step 4: Simplify right side
    363,258x = 321,447,043,369
  5. Step 5: Solve for x
    x = 321,447,043,369/363,258
  6. Step 6: Final answer
    x = 884,900.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.