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Finding the Third Proportional to 440,633 and 594,519

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Solution

The third proportional to 440,633 and 594,519 is: 802,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,633 : 594,519 = 594,519 : x
  2. Step 2: Convert to fraction form
    440,633/594,519 = 594,519/x
  3. Step 3: Cross multiply
    440,633x = 594,519 × 594,519
  4. Step 4: Simplify right side
    440,633x = 353,452,841,361
  5. Step 5: Solve for x
    x = 353,452,841,361/440,633
  6. Step 6: Final answer
    x = 802,147.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.