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Finding the Third Proportional to 307,599 and 465,498

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Solution

The third proportional to 307,599 and 465,498 is: 704,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,599 : 465,498 = 465,498 : x
  2. Step 2: Convert to fraction form
    307,599/465,498 = 465,498/x
  3. Step 3: Cross multiply
    307,599x = 465,498 × 465,498
  4. Step 4: Simplify right side
    307,599x = 216,688,388,004
  5. Step 5: Solve for x
    x = 216,688,388,004/307,599
  6. Step 6: Final answer
    x = 704,450.89

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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.