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Finding the Third Proportional to 213,069 and 473,433

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Solution

The third proportional to 213,069 and 473,433 is: 1,051,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,069 : 473,433 = 473,433 : x
  2. Step 2: Convert to fraction form
    213,069/473,433 = 473,433/x
  3. Step 3: Cross multiply
    213,069x = 473,433 × 473,433
  4. Step 4: Simplify right side
    213,069x = 224,138,805,489
  5. Step 5: Solve for x
    x = 224,138,805,489/213,069
  6. Step 6: Final answer
    x = 1,051,954.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.