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Finding the Third Proportional to 445,773 and 670,773

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Solution

The third proportional to 445,773 and 670,773 is: 1,009,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,773 : 670,773 = 670,773 : x
  2. Step 2: Convert to fraction form
    445,773/670,773 = 670,773/x
  3. Step 3: Cross multiply
    445,773x = 670,773 × 670,773
  4. Step 4: Simplify right side
    445,773x = 449,936,417,529
  5. Step 5: Solve for x
    x = 449,936,417,529/445,773
  6. Step 6: Final answer
    x = 1,009,339.77

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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.