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Finding the Third Proportional to 353,104.50 and 522,789

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Solution

The third proportional to 353,104.50 and 522,789 is: 774,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,104.50 : 522,789 = 522,789 : x
  2. Step 2: Convert to fraction form
    353,104.50/522,789 = 522,789/x
  3. Step 3: Cross multiply
    353,104.50x = 522,789 × 522,789
  4. Step 4: Simplify right side
    353,104.50x = 273,308,338,521
  5. Step 5: Solve for x
    x = 273,308,338,521/353,104.50
  6. Step 6: Final answer
    x = 774,015.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.