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Finding the Third Proportional to 459,296 and 670,796

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Solution

The third proportional to 459,296 and 670,796 is: 979,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,296 : 670,796 = 670,796 : x
  2. Step 2: Convert to fraction form
    459,296/670,796 = 670,796/x
  3. Step 3: Cross multiply
    459,296x = 670,796 × 670,796
  4. Step 4: Simplify right side
    459,296x = 449,967,273,616
  5. Step 5: Solve for x
    x = 449,967,273,616/459,296
  6. Step 6: Final answer
    x = 979,689.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.