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Finding the Third Proportional to 235,410 and 335,475

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Solution

The third proportional to 235,410 and 335,475 is: 478,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,410 : 335,475 = 335,475 : x
  2. Step 2: Convert to fraction form
    235,410/335,475 = 335,475/x
  3. Step 3: Cross multiply
    235,410x = 335,475 × 335,475
  4. Step 4: Simplify right side
    235,410x = 112,543,475,625
  5. Step 5: Solve for x
    x = 112,543,475,625/235,410
  6. Step 6: Final answer
    x = 478,074.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.