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Finding the Third Proportional to 373,824 and 579,792

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Solution

The third proportional to 373,824 and 579,792 is: 899,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,824 : 579,792 = 579,792 : x
  2. Step 2: Convert to fraction form
    373,824/579,792 = 579,792/x
  3. Step 3: Cross multiply
    373,824x = 579,792 × 579,792
  4. Step 4: Simplify right side
    373,824x = 336,158,763,264
  5. Step 5: Solve for x
    x = 336,158,763,264/373,824
  6. Step 6: Final answer
    x = 899,243.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.