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Finding the Third Proportional to 262,594.13 and 576,031.50

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Solution

The third proportional to 262,594.13 and 576,031.50 is: 1,263,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,594.13 : 576,031.50 = 576,031.50 : x
  2. Step 2: Convert to fraction form
    262,594.13/576,031.50 = 576,031.50/x
  3. Step 3: Cross multiply
    262,594.13x = 576,031.50 × 576,031.50
  4. Step 4: Simplify right side
    262,594.13x = 331,812,288,992.25
  5. Step 5: Solve for x
    x = 331,812,288,992.25/262,594.13
  6. Step 6: Final answer
    x = 1,263,593.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.