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Finding the Third Proportional to 209,628 and 326,893.50

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Solution

The third proportional to 209,628 and 326,893.50 is: 509,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,628 : 326,893.50 = 326,893.50 : x
  2. Step 2: Convert to fraction form
    209,628/326,893.50 = 326,893.50/x
  3. Step 3: Cross multiply
    209,628x = 326,893.50 × 326,893.50
  4. Step 4: Simplify right side
    209,628x = 106,859,360,342.25
  5. Step 5: Solve for x
    x = 106,859,360,342.25/209,628
  6. Step 6: Final answer
    x = 509,757.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.