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Finding the Third Proportional to 264,385 and 546,554

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Solution

The third proportional to 264,385 and 546,554 is: 1,129,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,385 : 546,554 = 546,554 : x
  2. Step 2: Convert to fraction form
    264,385/546,554 = 546,554/x
  3. Step 3: Cross multiply
    264,385x = 546,554 × 546,554
  4. Step 4: Simplify right side
    264,385x = 298,721,274,916
  5. Step 5: Solve for x
    x = 298,721,274,916/264,385
  6. Step 6: Final answer
    x = 1,129,872.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.