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Finding the Third Proportional to 225,085.50 and 480,303

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Solution

The third proportional to 225,085.50 and 480,303 is: 1,024,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,085.50 : 480,303 = 480,303 : x
  2. Step 2: Convert to fraction form
    225,085.50/480,303 = 480,303/x
  3. Step 3: Cross multiply
    225,085.50x = 480,303 × 480,303
  4. Step 4: Simplify right side
    225,085.50x = 230,690,971,809
  5. Step 5: Solve for x
    x = 230,690,971,809/225,085.50
  6. Step 6: Final answer
    x = 1,024,903.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.