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Finding the Third Proportional to 334,707 and 468,153

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Solution

The third proportional to 334,707 and 468,153 is: 654,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,707 : 468,153 = 468,153 : x
  2. Step 2: Convert to fraction form
    334,707/468,153 = 468,153/x
  3. Step 3: Cross multiply
    334,707x = 468,153 × 468,153
  4. Step 4: Simplify right side
    334,707x = 219,167,231,409
  5. Step 5: Solve for x
    x = 219,167,231,409/334,707
  6. Step 6: Final answer
    x = 654,803.25

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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.