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Finding the Third Proportional to 355,717 and 546,696

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Solution

The third proportional to 355,717 and 546,696 is: 840,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,717 : 546,696 = 546,696 : x
  2. Step 2: Convert to fraction form
    355,717/546,696 = 546,696/x
  3. Step 3: Cross multiply
    355,717x = 546,696 × 546,696
  4. Step 4: Simplify right side
    355,717x = 298,876,516,416
  5. Step 5: Solve for x
    x = 298,876,516,416/355,717
  6. Step 6: Final answer
    x = 840,208.70

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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.