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Finding the Third Proportional to 446,365.69 and 680,000.06

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Solution

The third proportional to 446,365.69 and 680,000.06 is: 1,035,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,365.69 : 680,000.06 = 680,000.06 : x
  2. Step 2: Convert to fraction form
    446,365.69/680,000.06 = 680,000.06/x
  3. Step 3: Cross multiply
    446,365.69x = 680,000.06 × 680,000.06
  4. Step 4: Simplify right side
    446,365.69x = 462,400,085,000.00
  5. Step 5: Solve for x
    x = 462,400,085,000.00/446,365.69
  6. Step 6: Final answer
    x = 1,035,922.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.