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Finding the Third Proportional to 284,310 and 611,463.94

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Solution

The third proportional to 284,310 and 611,463.94 is: 1,315,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,310 : 611,463.94 = 611,463.94 : x
  2. Step 2: Convert to fraction form
    284,310/611,463.94 = 611,463.94/x
  3. Step 3: Cross multiply
    284,310x = 611,463.94 × 611,463.94
  4. Step 4: Simplify right side
    284,310x = 373,888,146,863.00
  5. Step 5: Solve for x
    x = 373,888,146,863.00/284,310
  6. Step 6: Final answer
    x = 1,315,072.09

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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.