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Finding the Third Proportional to 525,685.50 and 823,556.25

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Solution

The third proportional to 525,685.50 and 823,556.25 is: 1,290,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,685.50 : 823,556.25 = 823,556.25 : x
  2. Step 2: Convert to fraction form
    525,685.50/823,556.25 = 823,556.25/x
  3. Step 3: Cross multiply
    525,685.50x = 823,556.25 × 823,556.25
  4. Step 4: Simplify right side
    525,685.50x = 678,244,896,914.06
  5. Step 5: Solve for x
    x = 678,244,896,914.06/525,685.50
  6. Step 6: Final answer
    x = 1,290,210.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.