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Finding the Third Proportional to 362,344 and 492,053

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Solution

The third proportional to 362,344 and 492,053 is: 668,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,344 : 492,053 = 492,053 : x
  2. Step 2: Convert to fraction form
    362,344/492,053 = 492,053/x
  3. Step 3: Cross multiply
    362,344x = 492,053 × 492,053
  4. Step 4: Simplify right side
    362,344x = 242,116,154,809
  5. Step 5: Solve for x
    x = 242,116,154,809/362,344
  6. Step 6: Final answer
    x = 668,194.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.