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Finding the Third Proportional to 355,285.50 and 546,105

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Solution

The third proportional to 355,285.50 and 546,105 is: 839,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,285.50 : 546,105 = 546,105 : x
  2. Step 2: Convert to fraction form
    355,285.50/546,105 = 546,105/x
  3. Step 3: Cross multiply
    355,285.50x = 546,105 × 546,105
  4. Step 4: Simplify right side
    355,285.50x = 298,230,671,025
  5. Step 5: Solve for x
    x = 298,230,671,025/355,285.50
  6. Step 6: Final answer
    x = 839,411.32

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