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Finding the Third Proportional to 594,977 and 906,409.50

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Solution

The third proportional to 594,977 and 906,409.50 is: 1,380,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,977 : 906,409.50 = 906,409.50 : x
  2. Step 2: Convert to fraction form
    594,977/906,409.50 = 906,409.50/x
  3. Step 3: Cross multiply
    594,977x = 906,409.50 × 906,409.50
  4. Step 4: Simplify right side
    594,977x = 821,578,181,690.25
  5. Step 5: Solve for x
    x = 821,578,181,690.25/594,977
  6. Step 6: Final answer
    x = 1,380,857.04

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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.