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Finding the Third Proportional to 435,907.50 and 938,608.50

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Solution

The third proportional to 435,907.50 and 938,608.50 is: 2,021,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,907.50 : 938,608.50 = 938,608.50 : x
  2. Step 2: Convert to fraction form
    435,907.50/938,608.50 = 938,608.50/x
  3. Step 3: Cross multiply
    435,907.50x = 938,608.50 × 938,608.50
  4. Step 4: Simplify right side
    435,907.50x = 880,985,916,272.25
  5. Step 5: Solve for x
    x = 880,985,916,272.25/435,907.50
  6. Step 6: Final answer
    x = 2,021,038.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.