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Finding the Third Proportional to 233,783.72 and 504,870.47

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Solution

The third proportional to 233,783.72 and 504,870.47 is: 1,090,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,783.72 : 504,870.47 = 504,870.47 : x
  2. Step 2: Convert to fraction form
    233,783.72/504,870.47 = 504,870.47/x
  3. Step 3: Cross multiply
    233,783.72x = 504,870.47 × 504,870.47
  4. Step 4: Simplify right side
    233,783.72x = 254,894,190,215.85
  5. Step 5: Solve for x
    x = 254,894,190,215.85/233,783.72
  6. Step 6: Final answer
    x = 1,090,299.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.