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Finding the Third Proportional to 307,804 and 462,598

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Solution

The third proportional to 307,804 and 462,598 is: 695,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,804 : 462,598 = 462,598 : x
  2. Step 2: Convert to fraction form
    307,804/462,598 = 462,598/x
  3. Step 3: Cross multiply
    307,804x = 462,598 × 462,598
  4. Step 4: Simplify right side
    307,804x = 213,996,909,604
  5. Step 5: Solve for x
    x = 213,996,909,604/307,804
  6. Step 6: Final answer
    x = 695,237.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.