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Finding the Third Proportional to 334,901 and 468,445

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Solution

The third proportional to 334,901 and 468,445 is: 655,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,901 : 468,445 = 468,445 : x
  2. Step 2: Convert to fraction form
    334,901/468,445 = 468,445/x
  3. Step 3: Cross multiply
    334,901x = 468,445 × 468,445
  4. Step 4: Simplify right side
    334,901x = 219,440,718,025
  5. Step 5: Solve for x
    x = 219,440,718,025/334,901
  6. Step 6: Final answer
    x = 655,240.56

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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.