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Finding the Third Proportional to 587,808 and 882,504

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Solution

The third proportional to 587,808 and 882,504 is: 1,324,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,808 : 882,504 = 882,504 : x
  2. Step 2: Convert to fraction form
    587,808/882,504 = 882,504/x
  3. Step 3: Cross multiply
    587,808x = 882,504 × 882,504
  4. Step 4: Simplify right side
    587,808x = 778,813,310,016
  5. Step 5: Solve for x
    x = 778,813,310,016/587,808
  6. Step 6: Final answer
    x = 1,324,945.07

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Why These Related Problems?

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