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Finding the Third Proportional to 264,312 and 550,504

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Solution

The third proportional to 264,312 and 550,504 is: 1,146,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,312 : 550,504 = 550,504 : x
  2. Step 2: Convert to fraction form
    264,312/550,504 = 550,504/x
  3. Step 3: Cross multiply
    264,312x = 550,504 × 550,504
  4. Step 4: Simplify right side
    264,312x = 303,054,654,016
  5. Step 5: Solve for x
    x = 303,054,654,016/264,312
  6. Step 6: Final answer
    x = 1,146,579.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.