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Finding the Third Proportional to 335,052 and 492,735

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Solution

The third proportional to 335,052 and 492,735 is: 724,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,052 : 492,735 = 492,735 : x
  2. Step 2: Convert to fraction form
    335,052/492,735 = 492,735/x
  3. Step 3: Cross multiply
    335,052x = 492,735 × 492,735
  4. Step 4: Simplify right side
    335,052x = 242,787,780,225
  5. Step 5: Solve for x
    x = 242,787,780,225/335,052
  6. Step 6: Final answer
    x = 724,627.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.