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Finding the Third Proportional to 344,819 and 536,426

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Solution

The third proportional to 344,819 and 536,426 is: 834,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,819 : 536,426 = 536,426 : x
  2. Step 2: Convert to fraction form
    344,819/536,426 = 536,426/x
  3. Step 3: Cross multiply
    344,819x = 536,426 × 536,426
  4. Step 4: Simplify right side
    344,819x = 287,752,853,476
  5. Step 5: Solve for x
    x = 287,752,853,476/344,819
  6. Step 6: Final answer
    x = 834,504.05

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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.