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Finding the Third Proportional to 266,004.75 and 365,784.75

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Solution

The third proportional to 266,004.75 and 365,784.75 is: 502,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,004.75 : 365,784.75 = 365,784.75 : x
  2. Step 2: Convert to fraction form
    266,004.75/365,784.75 = 365,784.75/x
  3. Step 3: Cross multiply
    266,004.75x = 365,784.75 × 365,784.75
  4. Step 4: Simplify right side
    266,004.75x = 133,798,483,332.56
  5. Step 5: Solve for x
    x = 133,798,483,332.56/266,004.75
  6. Step 6: Final answer
    x = 502,992.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.