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Finding the Third Proportional to 341,293.50 and 459,448.88

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Solution

The third proportional to 341,293.50 and 459,448.88 is: 618,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,293.50 : 459,448.88 = 459,448.88 : x
  2. Step 2: Convert to fraction form
    341,293.50/459,448.88 = 459,448.88/x
  3. Step 3: Cross multiply
    341,293.50x = 459,448.88 × 459,448.88
  4. Step 4: Simplify right side
    341,293.50x = 211,093,268,738.77
  5. Step 5: Solve for x
    x = 211,093,268,738.77/341,293.50
  6. Step 6: Final answer
    x = 618,509.49

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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.