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Finding the Third Proportional to 673,228 and 983,804

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Solution

The third proportional to 673,228 and 983,804 is: 1,437,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,228 : 983,804 = 983,804 : x
  2. Step 2: Convert to fraction form
    673,228/983,804 = 983,804/x
  3. Step 3: Cross multiply
    673,228x = 983,804 × 983,804
  4. Step 4: Simplify right side
    673,228x = 967,870,310,416
  5. Step 5: Solve for x
    x = 967,870,310,416/673,228
  6. Step 6: Final answer
    x = 1,437,656.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.