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Finding the Third Proportional to 380,931.19 and 899,187.75

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Solution

The third proportional to 380,931.19 and 899,187.75 is: 2,122,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,931.19 : 899,187.75 = 899,187.75 : x
  2. Step 2: Convert to fraction form
    380,931.19/899,187.75 = 899,187.75/x
  3. Step 3: Cross multiply
    380,931.19x = 899,187.75 × 899,187.75
  4. Step 4: Simplify right side
    380,931.19x = 808,538,609,750.06
  5. Step 5: Solve for x
    x = 808,538,609,750.06/380,931.19
  6. Step 6: Final answer
    x = 2,122,531.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.