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Finding the Third Proportional to 343,441.50 and 504,878.25

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Solution

The third proportional to 343,441.50 and 504,878.25 is: 742,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,441.50 : 504,878.25 = 504,878.25 : x
  2. Step 2: Convert to fraction form
    343,441.50/504,878.25 = 504,878.25/x
  3. Step 3: Cross multiply
    343,441.50x = 504,878.25 × 504,878.25
  4. Step 4: Simplify right side
    343,441.50x = 254,902,047,323.06
  5. Step 5: Solve for x
    x = 254,902,047,323.06/343,441.50
  6. Step 6: Final answer
    x = 742,199.32

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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.