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Finding the Third Proportional to 234,020 and 505,399

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Solution

The third proportional to 234,020 and 505,399 is: 1,091,480.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,020 : 505,399 = 505,399 : x
  2. Step 2: Convert to fraction form
    234,020/505,399 = 505,399/x
  3. Step 3: Cross multiply
    234,020x = 505,399 × 505,399
  4. Step 4: Simplify right side
    234,020x = 255,428,149,201
  5. Step 5: Solve for x
    x = 255,428,149,201/234,020
  6. Step 6: Final answer
    x = 1,091,480.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.