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Finding the Third Proportional to 559,435 and 860,388

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Solution

The third proportional to 559,435 and 860,388 is: 1,323,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,435 : 860,388 = 860,388 : x
  2. Step 2: Convert to fraction form
    559,435/860,388 = 860,388/x
  3. Step 3: Cross multiply
    559,435x = 860,388 × 860,388
  4. Step 4: Simplify right side
    559,435x = 740,267,510,544
  5. Step 5: Solve for x
    x = 740,267,510,544/559,435
  6. Step 6: Final answer
    x = 1,323,241.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.