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Finding the Third Proportional to 296,556.50 and 459,582

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Solution

The third proportional to 296,556.50 and 459,582 is: 712,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,556.50 : 459,582 = 459,582 : x
  2. Step 2: Convert to fraction form
    296,556.50/459,582 = 459,582/x
  3. Step 3: Cross multiply
    296,556.50x = 459,582 × 459,582
  4. Step 4: Simplify right side
    296,556.50x = 211,215,614,724
  5. Step 5: Solve for x
    x = 211,215,614,724/296,556.50
  6. Step 6: Final answer
    x = 712,227.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.