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Finding the Third Proportional to 569,945 and 889,423.50

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Solution

The third proportional to 569,945 and 889,423.50 is: 1,387,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,945 : 889,423.50 = 889,423.50 : x
  2. Step 2: Convert to fraction form
    569,945/889,423.50 = 889,423.50/x
  3. Step 3: Cross multiply
    569,945x = 889,423.50 × 889,423.50
  4. Step 4: Simplify right side
    569,945x = 791,074,162,352.25
  5. Step 5: Solve for x
    x = 791,074,162,352.25/569,945
  6. Step 6: Final answer
    x = 1,387,983.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.