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Finding the Third Proportional to 290,927 and 462,648

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Solution

The third proportional to 290,927 and 462,648 is: 735,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,927 : 462,648 = 462,648 : x
  2. Step 2: Convert to fraction form
    290,927/462,648 = 462,648/x
  3. Step 3: Cross multiply
    290,927x = 462,648 × 462,648
  4. Step 4: Simplify right side
    290,927x = 214,043,171,904
  5. Step 5: Solve for x
    x = 214,043,171,904/290,927
  6. Step 6: Final answer
    x = 735,728.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.