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Finding the Third Proportional to 303,219 and 464,055.75

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Solution

The third proportional to 303,219 and 464,055.75 is: 710,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,219 : 464,055.75 = 464,055.75 : x
  2. Step 2: Convert to fraction form
    303,219/464,055.75 = 464,055.75/x
  3. Step 3: Cross multiply
    303,219x = 464,055.75 × 464,055.75
  4. Step 4: Simplify right side
    303,219x = 215,347,739,108.06
  5. Step 5: Solve for x
    x = 215,347,739,108.06/303,219
  6. Step 6: Final answer
    x = 710,205.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.