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Finding the Third Proportional to 416,032.50 and 851,779.50

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Solution

The third proportional to 416,032.50 and 851,779.50 is: 1,743,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,032.50 : 851,779.50 = 851,779.50 : x
  2. Step 2: Convert to fraction form
    416,032.50/851,779.50 = 851,779.50/x
  3. Step 3: Cross multiply
    416,032.50x = 851,779.50 × 851,779.50
  4. Step 4: Simplify right side
    416,032.50x = 725,528,316,620.25
  5. Step 5: Solve for x
    x = 725,528,316,620.25/416,032.50
  6. Step 6: Final answer
    x = 1,743,922.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.