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Finding the Third Proportional to 286,008 and 427,500

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Solution

The third proportional to 286,008 and 427,500 is: 638,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,008 : 427,500 = 427,500 : x
  2. Step 2: Convert to fraction form
    286,008/427,500 = 427,500/x
  3. Step 3: Cross multiply
    286,008x = 427,500 × 427,500
  4. Step 4: Simplify right side
    286,008x = 182,756,250,000
  5. Step 5: Solve for x
    x = 182,756,250,000/286,008
  6. Step 6: Final answer
    x = 638,989.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.