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Finding the Third Proportional to 211,526 and 476,315

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Solution

The third proportional to 211,526 and 476,315 is: 1,072,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,526 : 476,315 = 476,315 : x
  2. Step 2: Convert to fraction form
    211,526/476,315 = 476,315/x
  3. Step 3: Cross multiply
    211,526x = 476,315 × 476,315
  4. Step 4: Simplify right side
    211,526x = 226,875,979,225
  5. Step 5: Solve for x
    x = 226,875,979,225/211,526
  6. Step 6: Final answer
    x = 1,072,567.81

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.