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Finding the Third Proportional to 229,533.75 and 503,343

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Solution

The third proportional to 229,533.75 and 503,343 is: 1,103,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,533.75 : 503,343 = 503,343 : x
  2. Step 2: Convert to fraction form
    229,533.75/503,343 = 503,343/x
  3. Step 3: Cross multiply
    229,533.75x = 503,343 × 503,343
  4. Step 4: Simplify right side
    229,533.75x = 253,354,175,649
  5. Step 5: Solve for x
    x = 253,354,175,649/229,533.75
  6. Step 6: Final answer
    x = 1,103,777.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.