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Finding the Third Proportional to 423,357 and 603,505.50

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Solution

The third proportional to 423,357 and 603,505.50 is: 860,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,357 : 603,505.50 = 603,505.50 : x
  2. Step 2: Convert to fraction form
    423,357/603,505.50 = 603,505.50/x
  3. Step 3: Cross multiply
    423,357x = 603,505.50 × 603,505.50
  4. Step 4: Simplify right side
    423,357x = 364,218,888,530.25
  5. Step 5: Solve for x
    x = 364,218,888,530.25/423,357
  6. Step 6: Final answer
    x = 860,311.48

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