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Finding the Third Proportional to 559,232 and 889,520

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Solution

The third proportional to 559,232 and 889,520 is: 1,414,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,232 : 889,520 = 889,520 : x
  2. Step 2: Convert to fraction form
    559,232/889,520 = 889,520/x
  3. Step 3: Cross multiply
    559,232x = 889,520 × 889,520
  4. Step 4: Simplify right side
    559,232x = 791,245,830,400
  5. Step 5: Solve for x
    x = 791,245,830,400/559,232
  6. Step 6: Final answer
    x = 1,414,879.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.