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Finding the Third Proportional to 589,774.50 and 889,536

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Solution

The third proportional to 589,774.50 and 889,536 is: 1,341,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,774.50 : 889,536 = 889,536 : x
  2. Step 2: Convert to fraction form
    589,774.50/889,536 = 889,536/x
  3. Step 3: Cross multiply
    589,774.50x = 889,536 × 889,536
  4. Step 4: Simplify right side
    589,774.50x = 791,274,295,296
  5. Step 5: Solve for x
    x = 791,274,295,296/589,774.50
  6. Step 6: Final answer
    x = 1,341,655.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.