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Finding the Third Proportional to 440,648 and 594,537

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Solution

The third proportional to 440,648 and 594,537 is: 802,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,648 : 594,537 = 594,537 : x
  2. Step 2: Convert to fraction form
    440,648/594,537 = 594,537/x
  3. Step 3: Cross multiply
    440,648x = 594,537 × 594,537
  4. Step 4: Simplify right side
    440,648x = 353,474,244,369
  5. Step 5: Solve for x
    x = 353,474,244,369/440,648
  6. Step 6: Final answer
    x = 802,169.18

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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.