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Finding the Third Proportional to 374,772 and 599,418

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Solution

The third proportional to 374,772 and 599,418 is: 958,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,772 : 599,418 = 599,418 : x
  2. Step 2: Convert to fraction form
    374,772/599,418 = 599,418/x
  3. Step 3: Cross multiply
    374,772x = 599,418 × 599,418
  4. Step 4: Simplify right side
    374,772x = 359,301,938,724
  5. Step 5: Solve for x
    x = 359,301,938,724/374,772
  6. Step 6: Final answer
    x = 958,721.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.