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Finding the Third Proportional to 268,085.53 and 589,303.69

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Solution

The third proportional to 268,085.53 and 589,303.69 is: 1,295,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,085.53 : 589,303.69 = 589,303.69 : x
  2. Step 2: Convert to fraction form
    268,085.53/589,303.69 = 589,303.69/x
  3. Step 3: Cross multiply
    268,085.53x = 589,303.69 × 589,303.69
  4. Step 4: Simplify right side
    268,085.53x = 347,278,836,101.10
  5. Step 5: Solve for x
    x = 347,278,836,101.10/268,085.53
  6. Step 6: Final answer
    x = 1,295,403.13

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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.