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Finding the Third Proportional to 355,281 and 546,098

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Solution

The third proportional to 355,281 and 546,098 is: 839,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,281 : 546,098 = 546,098 : x
  2. Step 2: Convert to fraction form
    355,281/546,098 = 546,098/x
  3. Step 3: Cross multiply
    355,281x = 546,098 × 546,098
  4. Step 4: Simplify right side
    355,281x = 298,223,025,604
  5. Step 5: Solve for x
    x = 298,223,025,604/355,281
  6. Step 6: Final answer
    x = 839,400.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.