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Finding the Third Proportional to 445,644.50 and 972,952

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Solution

The third proportional to 445,644.50 and 972,952 is: 2,124,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,644.50 : 972,952 = 972,952 : x
  2. Step 2: Convert to fraction form
    445,644.50/972,952 = 972,952/x
  3. Step 3: Cross multiply
    445,644.50x = 972,952 × 972,952
  4. Step 4: Simplify right side
    445,644.50x = 946,635,594,304
  5. Step 5: Solve for x
    x = 946,635,594,304/445,644.50
  6. Step 6: Final answer
    x = 2,124,194.50

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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.