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Finding the Third Proportional to 572,193 and 865,653

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Solution

The third proportional to 572,193 and 865,653 is: 1,309,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,193 : 865,653 = 865,653 : x
  2. Step 2: Convert to fraction form
    572,193/865,653 = 865,653/x
  3. Step 3: Cross multiply
    572,193x = 865,653 × 865,653
  4. Step 4: Simplify right side
    572,193x = 749,355,116,409
  5. Step 5: Solve for x
    x = 749,355,116,409/572,193
  6. Step 6: Final answer
    x = 1,309,619.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.