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Finding the Third Proportional to 307,732 and 461,598

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Solution

The third proportional to 307,732 and 461,598 is: 692,397

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,732 : 461,598 = 461,598 : x
  2. Step 2: Convert to fraction form
    307,732/461,598 = 461,598/x
  3. Step 3: Cross multiply
    307,732x = 461,598 × 461,598
  4. Step 4: Simplify right side
    307,732x = 213,072,713,604
  5. Step 5: Solve for x
    x = 213,072,713,604/307,732
  6. Step 6: Final answer
    x = 692,397

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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.