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Finding the Third Proportional to 459,282 and 670,775

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Solution

The third proportional to 459,282 and 670,775 is: 979,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,282 : 670,775 = 670,775 : x
  2. Step 2: Convert to fraction form
    459,282/670,775 = 670,775/x
  3. Step 3: Cross multiply
    459,282x = 670,775 × 670,775
  4. Step 4: Simplify right side
    459,282x = 449,939,100,625
  5. Step 5: Solve for x
    x = 449,939,100,625/459,282
  6. Step 6: Final answer
    x = 979,657.60

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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.