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Finding the Third Proportional to 643,014.56 and 881,712.56

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Solution

The third proportional to 643,014.56 and 881,712.56 is: 1,209,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,014.56 : 881,712.56 = 881,712.56 : x
  2. Step 2: Convert to fraction form
    643,014.56/881,712.56 = 881,712.56/x
  3. Step 3: Cross multiply
    643,014.56x = 881,712.56 × 881,712.56
  4. Step 4: Simplify right side
    643,014.56x = 777,417,042,870.32
  5. Step 5: Solve for x
    x = 777,417,042,870.32/643,014.56
  6. Step 6: Final answer
    x = 1,209,019.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.