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Finding the Third Proportional to 310,600.50 and 679,357.50

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Solution

The third proportional to 310,600.50 and 679,357.50 is: 1,485,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,600.50 : 679,357.50 = 679,357.50 : x
  2. Step 2: Convert to fraction form
    310,600.50/679,357.50 = 679,357.50/x
  3. Step 3: Cross multiply
    310,600.50x = 679,357.50 × 679,357.50
  4. Step 4: Simplify right side
    310,600.50x = 461,526,612,806.25
  5. Step 5: Solve for x
    x = 461,526,612,806.25/310,600.50
  6. Step 6: Final answer
    x = 1,485,917.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.