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Finding the Third Proportional to 264,387 and 546,558

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Solution

The third proportional to 264,387 and 546,558 is: 1,129,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,387 : 546,558 = 546,558 : x
  2. Step 2: Convert to fraction form
    264,387/546,558 = 546,558/x
  3. Step 3: Cross multiply
    264,387x = 546,558 × 546,558
  4. Step 4: Simplify right side
    264,387x = 298,725,647,364
  5. Step 5: Solve for x
    x = 298,725,647,364/264,387
  6. Step 6: Final answer
    x = 1,129,880.24

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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.