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Finding the Third Proportional to 236,382 and 546,666

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Solution

The third proportional to 236,382 and 546,666 is: 1,264,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,382 : 546,666 = 546,666 : x
  2. Step 2: Convert to fraction form
    236,382/546,666 = 546,666/x
  3. Step 3: Cross multiply
    236,382x = 546,666 × 546,666
  4. Step 4: Simplify right side
    236,382x = 298,843,715,556
  5. Step 5: Solve for x
    x = 298,843,715,556/236,382
  6. Step 6: Final answer
    x = 1,264,240.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.