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Finding the Third Proportional to 296,834 and 459,075

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Solution

The third proportional to 296,834 and 459,075 is: 709,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,834 : 459,075 = 459,075 : x
  2. Step 2: Convert to fraction form
    296,834/459,075 = 459,075/x
  3. Step 3: Cross multiply
    296,834x = 459,075 × 459,075
  4. Step 4: Simplify right side
    296,834x = 210,749,855,625
  5. Step 5: Solve for x
    x = 210,749,855,625/296,834
  6. Step 6: Final answer
    x = 709,992.30

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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.