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Finding the Third Proportional to 296,118 and 470,961

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Solution

The third proportional to 296,118 and 470,961 is: 749,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,118 : 470,961 = 470,961 : x
  2. Step 2: Convert to fraction form
    296,118/470,961 = 470,961/x
  3. Step 3: Cross multiply
    296,118x = 470,961 × 470,961
  4. Step 4: Simplify right side
    296,118x = 221,804,263,521
  5. Step 5: Solve for x
    x = 221,804,263,521/296,118
  6. Step 6: Final answer
    x = 749,040.12

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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.