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Finding the Third Proportional to 466,256.25 and 998,669.25

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Solution

The third proportional to 466,256.25 and 998,669.25 is: 2,139,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,256.25 : 998,669.25 = 998,669.25 : x
  2. Step 2: Convert to fraction form
    466,256.25/998,669.25 = 998,669.25/x
  3. Step 3: Cross multiply
    466,256.25x = 998,669.25 × 998,669.25
  4. Step 4: Simplify right side
    466,256.25x = 997,340,270,895.56
  5. Step 5: Solve for x
    x = 997,340,270,895.56/466,256.25
  6. Step 6: Final answer
    x = 2,139,038.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.