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Finding the Third Proportional to 574,608 and 772,968

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Solution

The third proportional to 574,608 and 772,968 is: 1,039,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,608 : 772,968 = 772,968 : x
  2. Step 2: Convert to fraction form
    574,608/772,968 = 772,968/x
  3. Step 3: Cross multiply
    574,608x = 772,968 × 772,968
  4. Step 4: Simplify right side
    574,608x = 597,479,529,024
  5. Step 5: Solve for x
    x = 597,479,529,024/574,608
  6. Step 6: Final answer
    x = 1,039,803.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.