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Finding the Third Proportional to 215,284.78 and 463,476.94

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Solution

The third proportional to 215,284.78 and 463,476.94 is: 997,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,284.78 : 463,476.94 = 463,476.94 : x
  2. Step 2: Convert to fraction form
    215,284.78/463,476.94 = 463,476.94/x
  3. Step 3: Cross multiply
    215,284.78x = 463,476.94 × 463,476.94
  4. Step 4: Simplify right side
    215,284.78x = 214,810,871,594.38
  5. Step 5: Solve for x
    x = 214,810,871,594.38/215,284.78
  6. Step 6: Final answer
    x = 997,798.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.