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Finding the Third Proportional to 239,320.13 and 504,783

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Solution

The third proportional to 239,320.13 and 504,783 is: 1,064,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,320.13 : 504,783 = 504,783 : x
  2. Step 2: Convert to fraction form
    239,320.13/504,783 = 504,783/x
  3. Step 3: Cross multiply
    239,320.13x = 504,783 × 504,783
  4. Step 4: Simplify right side
    239,320.13x = 254,805,877,089
  5. Step 5: Solve for x
    x = 254,805,877,089/239,320.13
  6. Step 6: Final answer
    x = 1,064,707.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.