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Finding the Third Proportional to 355,478.50 and 545,094

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Solution

The third proportional to 355,478.50 and 545,094 is: 835,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,478.50 : 545,094 = 545,094 : x
  2. Step 2: Convert to fraction form
    355,478.50/545,094 = 545,094/x
  3. Step 3: Cross multiply
    355,478.50x = 545,094 × 545,094
  4. Step 4: Simplify right side
    355,478.50x = 297,127,468,836
  5. Step 5: Solve for x
    x = 297,127,468,836/355,478.50
  6. Step 6: Final answer
    x = 835,852.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.