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Finding the Third Proportional to 373,979 and 770,010

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Solution

The third proportional to 373,979 and 770,010 is: 1,585,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,979 : 770,010 = 770,010 : x
  2. Step 2: Convert to fraction form
    373,979/770,010 = 770,010/x
  3. Step 3: Cross multiply
    373,979x = 770,010 × 770,010
  4. Step 4: Simplify right side
    373,979x = 592,915,400,100
  5. Step 5: Solve for x
    x = 592,915,400,100/373,979
  6. Step 6: Final answer
    x = 1,585,424.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.