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Finding the Third Proportional to 222,371 and 489,024

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Solution

The third proportional to 222,371 and 489,024 is: 1,075,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,371 : 489,024 = 489,024 : x
  2. Step 2: Convert to fraction form
    222,371/489,024 = 489,024/x
  3. Step 3: Cross multiply
    222,371x = 489,024 × 489,024
  4. Step 4: Simplify right side
    222,371x = 239,144,472,576
  5. Step 5: Solve for x
    x = 239,144,472,576/222,371
  6. Step 6: Final answer
    x = 1,075,430.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.