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Finding the Third Proportional to 210,679 and 460,773

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Solution

The third proportional to 210,679 and 460,773 is: 1,007,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,679 : 460,773 = 460,773 : x
  2. Step 2: Convert to fraction form
    210,679/460,773 = 460,773/x
  3. Step 3: Cross multiply
    210,679x = 460,773 × 460,773
  4. Step 4: Simplify right side
    210,679x = 212,311,757,529
  5. Step 5: Solve for x
    x = 212,311,757,529/210,679
  6. Step 6: Final answer
    x = 1,007,749.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.