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Finding the Third Proportional to 416,350.88 and 907,999.50

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Solution

The third proportional to 416,350.88 and 907,999.50 is: 1,980,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,350.88 : 907,999.50 = 907,999.50 : x
  2. Step 2: Convert to fraction form
    416,350.88/907,999.50 = 907,999.50/x
  3. Step 3: Cross multiply
    416,350.88x = 907,999.50 × 907,999.50
  4. Step 4: Simplify right side
    416,350.88x = 824,463,092,000.25
  5. Step 5: Solve for x
    x = 824,463,092,000.25/416,350.88
  6. Step 6: Final answer
    x = 1,980,212.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.