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Finding the Third Proportional to 421,969.50 and 904,216.50

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Solution

The third proportional to 421,969.50 and 904,216.50 is: 1,937,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,969.50 : 904,216.50 = 904,216.50 : x
  2. Step 2: Convert to fraction form
    421,969.50/904,216.50 = 904,216.50/x
  3. Step 3: Cross multiply
    421,969.50x = 904,216.50 × 904,216.50
  4. Step 4: Simplify right side
    421,969.50x = 817,607,478,872.25
  5. Step 5: Solve for x
    x = 817,607,478,872.25/421,969.50
  6. Step 6: Final answer
    x = 1,937,598.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.