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Finding the Third Proportional to 355,863 and 550,423.50

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Solution

The third proportional to 355,863 and 550,423.50 is: 851,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,863 : 550,423.50 = 550,423.50 : x
  2. Step 2: Convert to fraction form
    355,863/550,423.50 = 550,423.50/x
  3. Step 3: Cross multiply
    355,863x = 550,423.50 × 550,423.50
  4. Step 4: Simplify right side
    355,863x = 302,966,029,352.25
  5. Step 5: Solve for x
    x = 302,966,029,352.25/355,863
  6. Step 6: Final answer
    x = 851,355.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.