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Finding the Third Proportional to 264,856.50 and 577,005.19

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Solution

The third proportional to 264,856.50 and 577,005.19 is: 1,257,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,856.50 : 577,005.19 = 577,005.19 : x
  2. Step 2: Convert to fraction form
    264,856.50/577,005.19 = 577,005.19/x
  3. Step 3: Cross multiply
    264,856.50x = 577,005.19 × 577,005.19
  4. Step 4: Simplify right side
    264,856.50x = 332,934,986,401.91
  5. Step 5: Solve for x
    x = 332,934,986,401.91/264,856.50
  6. Step 6: Final answer
    x = 1,257,039.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.