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Finding the Third Proportional to 211,501.13 and 433,319.63

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Solution

The third proportional to 211,501.13 and 433,319.63 is: 887,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,501.13 : 433,319.63 = 433,319.63 : x
  2. Step 2: Convert to fraction form
    211,501.13/433,319.63 = 433,319.63/x
  3. Step 3: Cross multiply
    211,501.13x = 433,319.63 × 433,319.63
  4. Step 4: Simplify right side
    211,501.13x = 187,765,897,410.14
  5. Step 5: Solve for x
    x = 187,765,897,410.14/211,501.13
  6. Step 6: Final answer
    x = 887,777.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.