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Finding the Third Proportional to 330,180 and 546,292

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Solution

The third proportional to 330,180 and 546,292 is: 903,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,180 : 546,292 = 546,292 : x
  2. Step 2: Convert to fraction form
    330,180/546,292 = 546,292/x
  3. Step 3: Cross multiply
    330,180x = 546,292 × 546,292
  4. Step 4: Simplify right side
    330,180x = 298,434,949,264
  5. Step 5: Solve for x
    x = 298,434,949,264/330,180
  6. Step 6: Final answer
    x = 903,855.32

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.