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Finding the Third Proportional to 306,854 and 635,010

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Solution

The third proportional to 306,854 and 635,010 is: 1,314,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,854 : 635,010 = 635,010 : x
  2. Step 2: Convert to fraction form
    306,854/635,010 = 635,010/x
  3. Step 3: Cross multiply
    306,854x = 635,010 × 635,010
  4. Step 4: Simplify right side
    306,854x = 403,237,700,100
  5. Step 5: Solve for x
    x = 403,237,700,100/306,854
  6. Step 6: Final answer
    x = 1,314,102.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.