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Finding the Third Proportional to 307,521 and 665,586

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Solution

The third proportional to 307,521 and 665,586 is: 1,440,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,521 : 665,586 = 665,586 : x
  2. Step 2: Convert to fraction form
    307,521/665,586 = 665,586/x
  3. Step 3: Cross multiply
    307,521x = 665,586 × 665,586
  4. Step 4: Simplify right side
    307,521x = 443,004,723,396
  5. Step 5: Solve for x
    x = 443,004,723,396/307,521
  6. Step 6: Final answer
    x = 1,440,567.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.