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Finding the Third Proportional to 265,630.50 and 570,627

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Solution

The third proportional to 265,630.50 and 570,627 is: 1,225,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,630.50 : 570,627 = 570,627 : x
  2. Step 2: Convert to fraction form
    265,630.50/570,627 = 570,627/x
  3. Step 3: Cross multiply
    265,630.50x = 570,627 × 570,627
  4. Step 4: Simplify right side
    265,630.50x = 325,615,173,129
  5. Step 5: Solve for x
    x = 325,615,173,129/265,630.50
  6. Step 6: Final answer
    x = 1,225,819.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.