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Finding the Third Proportional to 560,050 and 889,898

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Solution

The third proportional to 560,050 and 889,898 is: 1,414,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,050 : 889,898 = 889,898 : x
  2. Step 2: Convert to fraction form
    560,050/889,898 = 889,898/x
  3. Step 3: Cross multiply
    560,050x = 889,898 × 889,898
  4. Step 4: Simplify right side
    560,050x = 791,918,450,404
  5. Step 5: Solve for x
    x = 791,918,450,404/560,050
  6. Step 6: Final answer
    x = 1,414,013.84

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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.