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Finding the Third Proportional to 403,825.50 and 881,001.50

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Solution

The third proportional to 403,825.50 and 881,001.50 is: 1,922,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,825.50 : 881,001.50 = 881,001.50 : x
  2. Step 2: Convert to fraction form
    403,825.50/881,001.50 = 881,001.50/x
  3. Step 3: Cross multiply
    403,825.50x = 881,001.50 × 881,001.50
  4. Step 4: Simplify right side
    403,825.50x = 776,163,643,002.25
  5. Step 5: Solve for x
    x = 776,163,643,002.25/403,825.50
  6. Step 6: Final answer
    x = 1,922,027.32

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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.