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Finding the Third Proportional to 341,291 and 459,448

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Solution

The third proportional to 341,291 and 459,448 is: 618,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,291 : 459,448 = 459,448 : x
  2. Step 2: Convert to fraction form
    341,291/459,448 = 459,448/x
  3. Step 3: Cross multiply
    341,291x = 459,448 × 459,448
  4. Step 4: Simplify right side
    341,291x = 211,092,464,704
  5. Step 5: Solve for x
    x = 211,092,464,704/341,291
  6. Step 6: Final answer
    x = 618,511.67

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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.