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Finding the Third Proportional to 236,455.50 and 503,583

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Solution

The third proportional to 236,455.50 and 503,583 is: 1,072,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,455.50 : 503,583 = 503,583 : x
  2. Step 2: Convert to fraction form
    236,455.50/503,583 = 503,583/x
  3. Step 3: Cross multiply
    236,455.50x = 503,583 × 503,583
  4. Step 4: Simplify right side
    236,455.50x = 253,595,837,889
  5. Step 5: Solve for x
    x = 253,595,837,889/236,455.50
  6. Step 6: Final answer
    x = 1,072,488.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.