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Finding the Third Proportional to 260,356.50 and 570,648

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Solution

The third proportional to 260,356.50 and 570,648 is: 1,250,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,356.50 : 570,648 = 570,648 : x
  2. Step 2: Convert to fraction form
    260,356.50/570,648 = 570,648/x
  3. Step 3: Cross multiply
    260,356.50x = 570,648 × 570,648
  4. Step 4: Simplify right side
    260,356.50x = 325,639,139,904
  5. Step 5: Solve for x
    x = 325,639,139,904/260,356.50
  6. Step 6: Final answer
    x = 1,250,743.27

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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.