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Finding the Third Proportional to 343,430.44 and 504,855.56

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Solution

The third proportional to 343,430.44 and 504,855.56 is: 742,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,430.44 : 504,855.56 = 504,855.56 : x
  2. Step 2: Convert to fraction form
    343,430.44/504,855.56 = 504,855.56/x
  3. Step 3: Cross multiply
    343,430.44x = 504,855.56 × 504,855.56
  4. Step 4: Simplify right side
    343,430.44x = 254,879,138,987.19
  5. Step 5: Solve for x
    x = 254,879,138,987.19/343,430.44
  6. Step 6: Final answer
    x = 742,156.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.