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Finding the Third Proportional to 305,224 and 464,938

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Solution

The third proportional to 305,224 and 464,938 is: 708,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,224 : 464,938 = 464,938 : x
  2. Step 2: Convert to fraction form
    305,224/464,938 = 464,938/x
  3. Step 3: Cross multiply
    305,224x = 464,938 × 464,938
  4. Step 4: Simplify right side
    305,224x = 216,167,343,844
  5. Step 5: Solve for x
    x = 216,167,343,844/305,224
  6. Step 6: Final answer
    x = 708,225.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.