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Finding the Third Proportional to 262,453.50 and 542,403

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Solution

The third proportional to 262,453.50 and 542,403 is: 1,120,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,453.50 : 542,403 = 542,403 : x
  2. Step 2: Convert to fraction form
    262,453.50/542,403 = 542,403/x
  3. Step 3: Cross multiply
    262,453.50x = 542,403 × 542,403
  4. Step 4: Simplify right side
    262,453.50x = 294,201,014,409
  5. Step 5: Solve for x
    x = 294,201,014,409/262,453.50
  6. Step 6: Final answer
    x = 1,120,964.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.