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Finding the Third Proportional to 572,571 and 860,132

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Solution

The third proportional to 572,571 and 860,132 is: 1,292,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,571 : 860,132 = 860,132 : x
  2. Step 2: Convert to fraction form
    572,571/860,132 = 860,132/x
  3. Step 3: Cross multiply
    572,571x = 860,132 × 860,132
  4. Step 4: Simplify right side
    572,571x = 739,827,057,424
  5. Step 5: Solve for x
    x = 739,827,057,424/572,571
  6. Step 6: Final answer
    x = 1,292,114.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.