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Finding the Third Proportional to 534,031.50 and 801,153

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Solution

The third proportional to 534,031.50 and 801,153 is: 1,201,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,031.50 : 801,153 = 801,153 : x
  2. Step 2: Convert to fraction form
    534,031.50/801,153 = 801,153/x
  3. Step 3: Cross multiply
    534,031.50x = 801,153 × 801,153
  4. Step 4: Simplify right side
    534,031.50x = 641,846,129,409
  5. Step 5: Solve for x
    x = 641,846,129,409/534,031.50
  6. Step 6: Final answer
    x = 1,201,888.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.