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Finding the Third Proportional to 259,798.50 and 570,627

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Solution

The third proportional to 259,798.50 and 570,627 is: 1,253,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,798.50 : 570,627 = 570,627 : x
  2. Step 2: Convert to fraction form
    259,798.50/570,627 = 570,627/x
  3. Step 3: Cross multiply
    259,798.50x = 570,627 × 570,627
  4. Step 4: Simplify right side
    259,798.50x = 325,615,173,129
  5. Step 5: Solve for x
    x = 325,615,173,129/259,798.50
  6. Step 6: Final answer
    x = 1,253,337.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.