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Finding the Third Proportional to 550,384 and 841,989

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Solution

The third proportional to 550,384 and 841,989 is: 1,288,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,384 : 841,989 = 841,989 : x
  2. Step 2: Convert to fraction form
    550,384/841,989 = 841,989/x
  3. Step 3: Cross multiply
    550,384x = 841,989 × 841,989
  4. Step 4: Simplify right side
    550,384x = 708,945,476,121
  5. Step 5: Solve for x
    x = 708,945,476,121/550,384
  6. Step 6: Final answer
    x = 1,288,092.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.