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Finding the Third Proportional to 212,169 and 463,704

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Solution

The third proportional to 212,169 and 463,704 is: 1,013,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,169 : 463,704 = 463,704 : x
  2. Step 2: Convert to fraction form
    212,169/463,704 = 463,704/x
  3. Step 3: Cross multiply
    212,169x = 463,704 × 463,704
  4. Step 4: Simplify right side
    212,169x = 215,021,399,616
  5. Step 5: Solve for x
    x = 215,021,399,616/212,169
  6. Step 6: Final answer
    x = 1,013,444.00

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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.