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Finding the Third Proportional to 458,508.94 and 1,007,777.53

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Solution

The third proportional to 458,508.94 and 1,007,777.53 is: 2,215,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,508.94 : 1,007,777.53 = 1,007,777.53 : x
  2. Step 2: Convert to fraction form
    458,508.94/1,007,777.53 = 1,007,777.53/x
  3. Step 3: Cross multiply
    458,508.94x = 1,007,777.53 × 1,007,777.53
  4. Step 4: Simplify right side
    458,508.94x = 1,015,615,552,492.34
  5. Step 5: Solve for x
    x = 1,015,615,552,492.34/458,508.94
  6. Step 6: Final answer
    x = 2,215,039.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.