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Finding the Third Proportional to 341,294.50 and 459,450

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Solution

The third proportional to 341,294.50 and 459,450 is: 618,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,294.50 : 459,450 = 459,450 : x
  2. Step 2: Convert to fraction form
    341,294.50/459,450 = 459,450/x
  3. Step 3: Cross multiply
    341,294.50x = 459,450 × 459,450
  4. Step 4: Simplify right side
    341,294.50x = 211,094,302,500
  5. Step 5: Solve for x
    x = 211,094,302,500/341,294.50
  6. Step 6: Final answer
    x = 618,510.71

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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.