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Finding the Third Proportional to 664,670.25 and 1,004,925.38

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Solution

The third proportional to 664,670.25 and 1,004,925.38 is: 1,519,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,670.25 : 1,004,925.38 = 1,004,925.38 : x
  2. Step 2: Convert to fraction form
    664,670.25/1,004,925.38 = 1,004,925.38/x
  3. Step 3: Cross multiply
    664,670.25x = 1,004,925.38 × 1,004,925.38
  4. Step 4: Simplify right side
    664,670.25x = 1,009,875,009,318.89
  5. Step 5: Solve for x
    x = 1,009,875,009,318.89/664,670.25
  6. Step 6: Final answer
    x = 1,519,362.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.