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Finding the Third Proportional to 321,057 and 691,784

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Solution

The third proportional to 321,057 and 691,784 is: 1,490,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,057 : 691,784 = 691,784 : x
  2. Step 2: Convert to fraction form
    321,057/691,784 = 691,784/x
  3. Step 3: Cross multiply
    321,057x = 691,784 × 691,784
  4. Step 4: Simplify right side
    321,057x = 478,565,102,656
  5. Step 5: Solve for x
    x = 478,565,102,656/321,057
  6. Step 6: Final answer
    x = 1,490,592.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.