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Finding the Third Proportional to 335,342 and 492,321

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Solution

The third proportional to 335,342 and 492,321 is: 722,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,342 : 492,321 = 492,321 : x
  2. Step 2: Convert to fraction form
    335,342/492,321 = 492,321/x
  3. Step 3: Cross multiply
    335,342x = 492,321 × 492,321
  4. Step 4: Simplify right side
    335,342x = 242,379,967,041
  5. Step 5: Solve for x
    x = 242,379,967,041/335,342
  6. Step 6: Final answer
    x = 722,784.40

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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.