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Finding the Third Proportional to 230,583 and 501,558

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Solution

The third proportional to 230,583 and 501,558 is: 1,090,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,583 : 501,558 = 501,558 : x
  2. Step 2: Convert to fraction form
    230,583/501,558 = 501,558/x
  3. Step 3: Cross multiply
    230,583x = 501,558 × 501,558
  4. Step 4: Simplify right side
    230,583x = 251,560,427,364
  5. Step 5: Solve for x
    x = 251,560,427,364/230,583
  6. Step 6: Final answer
    x = 1,090,975.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.