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Finding the Third Proportional to 296,075 and 439,009

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Solution

The third proportional to 296,075 and 439,009 is: 650,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,075 : 439,009 = 439,009 : x
  2. Step 2: Convert to fraction form
    296,075/439,009 = 439,009/x
  3. Step 3: Cross multiply
    296,075x = 439,009 × 439,009
  4. Step 4: Simplify right side
    296,075x = 192,728,902,081
  5. Step 5: Solve for x
    x = 192,728,902,081/296,075
  6. Step 6: Final answer
    x = 650,946.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.