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Finding the Third Proportional to 453,213 and 613,338.75

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Solution

The third proportional to 453,213 and 613,338.75 is: 830,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,213 : 613,338.75 = 613,338.75 : x
  2. Step 2: Convert to fraction form
    453,213/613,338.75 = 613,338.75/x
  3. Step 3: Cross multiply
    453,213x = 613,338.75 × 613,338.75
  4. Step 4: Simplify right side
    453,213x = 376,184,422,251.56
  5. Step 5: Solve for x
    x = 376,184,422,251.56/453,213
  6. Step 6: Final answer
    x = 830,038.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.