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Finding the Third Proportional to 387,824 and 568,968

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Solution

The third proportional to 387,824 and 568,968 is: 834,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,824 : 568,968 = 568,968 : x
  2. Step 2: Convert to fraction form
    387,824/568,968 = 568,968/x
  3. Step 3: Cross multiply
    387,824x = 568,968 × 568,968
  4. Step 4: Simplify right side
    387,824x = 323,724,585,024
  5. Step 5: Solve for x
    x = 323,724,585,024/387,824
  6. Step 6: Final answer
    x = 834,720.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.