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Finding the Third Proportional to 334,708 and 468,154

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Solution

The third proportional to 334,708 and 468,154 is: 654,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,708 : 468,154 = 468,154 : x
  2. Step 2: Convert to fraction form
    334,708/468,154 = 468,154/x
  3. Step 3: Cross multiply
    334,708x = 468,154 × 468,154
  4. Step 4: Simplify right side
    334,708x = 219,168,167,716
  5. Step 5: Solve for x
    x = 219,168,167,716/334,708
  6. Step 6: Final answer
    x = 654,804.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.