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Finding the Third Proportional to 343,542.50 and 505,040.25

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Solution

The third proportional to 343,542.50 and 505,040.25 is: 742,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,542.50 : 505,040.25 = 505,040.25 : x
  2. Step 2: Convert to fraction form
    343,542.50/505,040.25 = 505,040.25/x
  3. Step 3: Cross multiply
    343,542.50x = 505,040.25 × 505,040.25
  4. Step 4: Simplify right side
    343,542.50x = 255,065,654,120.06
  5. Step 5: Solve for x
    x = 255,065,654,120.06/343,542.50
  6. Step 6: Final answer
    x = 742,457.35

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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.