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Finding the Third Proportional to 259,224 and 556,032

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Solution

The third proportional to 259,224 and 556,032 is: 1,192,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,224 : 556,032 = 556,032 : x
  2. Step 2: Convert to fraction form
    259,224/556,032 = 556,032/x
  3. Step 3: Cross multiply
    259,224x = 556,032 × 556,032
  4. Step 4: Simplify right side
    259,224x = 309,171,585,024
  5. Step 5: Solve for x
    x = 309,171,585,024/259,224
  6. Step 6: Final answer
    x = 1,192,681.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.