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Finding the Third Proportional to 334,907 and 468,454

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Solution

The third proportional to 334,907 and 468,454 is: 655,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,907 : 468,454 = 468,454 : x
  2. Step 2: Convert to fraction form
    334,907/468,454 = 468,454/x
  3. Step 3: Cross multiply
    334,907x = 468,454 × 468,454
  4. Step 4: Simplify right side
    334,907x = 219,449,150,116
  5. Step 5: Solve for x
    x = 219,449,150,116/334,907
  6. Step 6: Final answer
    x = 655,254.00

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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.