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Finding the Third Proportional to 414,247.50 and 553,675.50

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Solution

The third proportional to 414,247.50 and 553,675.50 is: 740,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,247.50 : 553,675.50 = 553,675.50 : x
  2. Step 2: Convert to fraction form
    414,247.50/553,675.50 = 553,675.50/x
  3. Step 3: Cross multiply
    414,247.50x = 553,675.50 × 553,675.50
  4. Step 4: Simplify right side
    414,247.50x = 306,556,559,300.25
  5. Step 5: Solve for x
    x = 306,556,559,300.25/414,247.50
  6. Step 6: Final answer
    x = 740,032.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.