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Finding the Third Proportional to 232,977 and 357,984

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Solution

The third proportional to 232,977 and 357,984 is: 550,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,977 : 357,984 = 357,984 : x
  2. Step 2: Convert to fraction form
    232,977/357,984 = 357,984/x
  3. Step 3: Cross multiply
    232,977x = 357,984 × 357,984
  4. Step 4: Simplify right side
    232,977x = 128,152,544,256
  5. Step 5: Solve for x
    x = 128,152,544,256/232,977
  6. Step 6: Final answer
    x = 550,065.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.