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Finding the Third Proportional to 433,956 and 670,590

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Solution

The third proportional to 433,956 and 670,590 is: 1,036,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,956 : 670,590 = 670,590 : x
  2. Step 2: Convert to fraction form
    433,956/670,590 = 670,590/x
  3. Step 3: Cross multiply
    433,956x = 670,590 × 670,590
  4. Step 4: Simplify right side
    433,956x = 449,690,948,100
  5. Step 5: Solve for x
    x = 449,690,948,100/433,956
  6. Step 6: Final answer
    x = 1,036,259.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.