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Finding the Third Proportional to 444,991.50 and 986,076

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Solution

The third proportional to 444,991.50 and 986,076 is: 2,185,088.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,991.50 : 986,076 = 986,076 : x
  2. Step 2: Convert to fraction form
    444,991.50/986,076 = 986,076/x
  3. Step 3: Cross multiply
    444,991.50x = 986,076 × 986,076
  4. Step 4: Simplify right side
    444,991.50x = 972,345,877,776
  5. Step 5: Solve for x
    x = 972,345,877,776/444,991.50
  6. Step 6: Final answer
    x = 2,185,088.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.