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Finding the Third Proportional to 556,769 and 835,144

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Solution

The third proportional to 556,769 and 835,144 is: 1,252,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,769 : 835,144 = 835,144 : x
  2. Step 2: Convert to fraction form
    556,769/835,144 = 835,144/x
  3. Step 3: Cross multiply
    556,769x = 835,144 × 835,144
  4. Step 4: Simplify right side
    556,769x = 697,465,500,736
  5. Step 5: Solve for x
    x = 697,465,500,736/556,769
  6. Step 6: Final answer
    x = 1,252,701.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.