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Finding the Third Proportional to 345,051 and 704,187

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Solution

The third proportional to 345,051 and 704,187 is: 1,437,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,051 : 704,187 = 704,187 : x
  2. Step 2: Convert to fraction form
    345,051/704,187 = 704,187/x
  3. Step 3: Cross multiply
    345,051x = 704,187 × 704,187
  4. Step 4: Simplify right side
    345,051x = 495,879,330,969
  5. Step 5: Solve for x
    x = 495,879,330,969/345,051
  6. Step 6: Final answer
    x = 1,437,118.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.