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Finding the Third Proportional to 444,046.50 and 972,598.50

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Solution

The third proportional to 444,046.50 and 972,598.50 is: 2,130,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,046.50 : 972,598.50 = 972,598.50 : x
  2. Step 2: Convert to fraction form
    444,046.50/972,598.50 = 972,598.50/x
  3. Step 3: Cross multiply
    444,046.50x = 972,598.50 × 972,598.50
  4. Step 4: Simplify right side
    444,046.50x = 945,947,842,202.25
  5. Step 5: Solve for x
    x = 945,947,842,202.25/444,046.50
  6. Step 6: Final answer
    x = 2,130,290.05

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Why These Related Problems?

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