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Finding the Third Proportional to 559,224 and 889,380

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Solution

The third proportional to 559,224 and 889,380 is: 1,414,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,224 : 889,380 = 889,380 : x
  2. Step 2: Convert to fraction form
    559,224/889,380 = 889,380/x
  3. Step 3: Cross multiply
    559,224x = 889,380 × 889,380
  4. Step 4: Simplify right side
    559,224x = 790,996,784,400
  5. Step 5: Solve for x
    x = 790,996,784,400/559,224
  6. Step 6: Final answer
    x = 1,414,454.29

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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.