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Finding the Third Proportional to 307,528 and 665,599

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Solution

The third proportional to 307,528 and 665,599 is: 1,440,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,528 : 665,599 = 665,599 : x
  2. Step 2: Convert to fraction form
    307,528/665,599 = 665,599/x
  3. Step 3: Cross multiply
    307,528x = 665,599 × 665,599
  4. Step 4: Simplify right side
    307,528x = 443,022,028,801
  5. Step 5: Solve for x
    x = 443,022,028,801/307,528
  6. Step 6: Final answer
    x = 1,440,590.87

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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.