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Finding the Third Proportional to 482,834 and 734,619

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Solution

The third proportional to 482,834 and 734,619 is: 1,117,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,834 : 734,619 = 734,619 : x
  2. Step 2: Convert to fraction form
    482,834/734,619 = 734,619/x
  3. Step 3: Cross multiply
    482,834x = 734,619 × 734,619
  4. Step 4: Simplify right side
    482,834x = 539,665,075,161
  5. Step 5: Solve for x
    x = 539,665,075,161/482,834
  6. Step 6: Final answer
    x = 1,117,703.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.