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Finding the Third Proportional to 307,968 and 461,952

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Solution

The third proportional to 307,968 and 461,952 is: 692,928

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,968 : 461,952 = 461,952 : x
  2. Step 2: Convert to fraction form
    307,968/461,952 = 461,952/x
  3. Step 3: Cross multiply
    307,968x = 461,952 × 461,952
  4. Step 4: Simplify right side
    307,968x = 213,399,650,304
  5. Step 5: Solve for x
    x = 213,399,650,304/307,968
  6. Step 6: Final answer
    x = 692,928

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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.