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Finding the Third Proportional to 344,821 and 536,429

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Solution

The third proportional to 344,821 and 536,429 is: 834,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,821 : 536,429 = 536,429 : x
  2. Step 2: Convert to fraction form
    344,821/536,429 = 536,429/x
  3. Step 3: Cross multiply
    344,821x = 536,429 × 536,429
  4. Step 4: Simplify right side
    344,821x = 287,756,072,041
  5. Step 5: Solve for x
    x = 287,756,072,041/344,821
  6. Step 6: Final answer
    x = 834,508.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.