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Finding the Third Proportional to 407,342 and 608,280

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Solution

The third proportional to 407,342 and 608,280 is: 908,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,342 : 608,280 = 608,280 : x
  2. Step 2: Convert to fraction form
    407,342/608,280 = 608,280/x
  3. Step 3: Cross multiply
    407,342x = 608,280 × 608,280
  4. Step 4: Simplify right side
    407,342x = 370,004,558,400
  5. Step 5: Solve for x
    x = 370,004,558,400/407,342
  6. Step 6: Final answer
    x = 908,338.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.