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Finding the Third Proportional to 566,188 and 868,938

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Solution

The third proportional to 566,188 and 868,938 is: 1,333,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,188 : 868,938 = 868,938 : x
  2. Step 2: Convert to fraction form
    566,188/868,938 = 868,938/x
  3. Step 3: Cross multiply
    566,188x = 868,938 × 868,938
  4. Step 4: Simplify right side
    566,188x = 755,053,247,844
  5. Step 5: Solve for x
    x = 755,053,247,844/566,188
  6. Step 6: Final answer
    x = 1,333,573.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.