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Finding the Third Proportional to 263,528 and 394,572

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Solution

The third proportional to 263,528 and 394,572 is: 590,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,528 : 394,572 = 394,572 : x
  2. Step 2: Convert to fraction form
    263,528/394,572 = 394,572/x
  3. Step 3: Cross multiply
    263,528x = 394,572 × 394,572
  4. Step 4: Simplify right side
    263,528x = 155,687,063,184
  5. Step 5: Solve for x
    x = 155,687,063,184/263,528
  6. Step 6: Final answer
    x = 590,779.97

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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.