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Finding the Third Proportional to 412,663.50 and 904,054.50

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Solution

The third proportional to 412,663.50 and 904,054.50 is: 1,980,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,663.50 : 904,054.50 = 904,054.50 : x
  2. Step 2: Convert to fraction form
    412,663.50/904,054.50 = 904,054.50/x
  3. Step 3: Cross multiply
    412,663.50x = 904,054.50 × 904,054.50
  4. Step 4: Simplify right side
    412,663.50x = 817,314,538,970.25
  5. Step 5: Solve for x
    x = 817,314,538,970.25/412,663.50
  6. Step 6: Final answer
    x = 1,980,583.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.