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Finding the Third Proportional to 342,333 and 695,034

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Solution

The third proportional to 342,333 and 695,034 is: 1,411,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,333 : 695,034 = 695,034 : x
  2. Step 2: Convert to fraction form
    342,333/695,034 = 695,034/x
  3. Step 3: Cross multiply
    342,333x = 695,034 × 695,034
  4. Step 4: Simplify right side
    342,333x = 483,072,261,156
  5. Step 5: Solve for x
    x = 483,072,261,156/342,333
  6. Step 6: Final answer
    x = 1,411,118.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.