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Finding the Third Proportional to 264,966 and 558,072

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Solution

The third proportional to 264,966 and 558,072 is: 1,175,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,966 : 558,072 = 558,072 : x
  2. Step 2: Convert to fraction form
    264,966/558,072 = 558,072/x
  3. Step 3: Cross multiply
    264,966x = 558,072 × 558,072
  4. Step 4: Simplify right side
    264,966x = 311,444,357,184
  5. Step 5: Solve for x
    x = 311,444,357,184/264,966
  6. Step 6: Final answer
    x = 1,175,412.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.