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Finding the Third Proportional to 341,300 and 459,458

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Solution

The third proportional to 341,300 and 459,458 is: 618,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,300 : 459,458 = 459,458 : x
  2. Step 2: Convert to fraction form
    341,300/459,458 = 459,458/x
  3. Step 3: Cross multiply
    341,300x = 459,458 × 459,458
  4. Step 4: Simplify right side
    341,300x = 211,101,653,764
  5. Step 5: Solve for x
    x = 211,101,653,764/341,300
  6. Step 6: Final answer
    x = 618,522.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.