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Finding the Third Proportional to 572,207.50 and 800,031.25

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Solution

The third proportional to 572,207.50 and 800,031.25 is: 1,118,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,207.50 : 800,031.25 = 800,031.25 : x
  2. Step 2: Convert to fraction form
    572,207.50/800,031.25 = 800,031.25/x
  3. Step 3: Cross multiply
    572,207.50x = 800,031.25 × 800,031.25
  4. Step 4: Simplify right side
    572,207.50x = 640,050,000,976.56
  5. Step 5: Solve for x
    x = 640,050,000,976.56/572,207.50
  6. Step 6: Final answer
    x = 1,118,562.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.