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Finding the Third Proportional to 383,653.50 and 573,111

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Solution

The third proportional to 383,653.50 and 573,111 is: 856,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,653.50 : 573,111 = 573,111 : x
  2. Step 2: Convert to fraction form
    383,653.50/573,111 = 573,111/x
  3. Step 3: Cross multiply
    383,653.50x = 573,111 × 573,111
  4. Step 4: Simplify right side
    383,653.50x = 328,456,218,321
  5. Step 5: Solve for x
    x = 328,456,218,321/383,653.50
  6. Step 6: Final answer
    x = 856,127.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.