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Finding the Third Proportional to 284,730.19 and 619,283.81

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Solution

The third proportional to 284,730.19 and 619,283.81 is: 1,346,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,730.19 : 619,283.81 = 619,283.81 : x
  2. Step 2: Convert to fraction form
    284,730.19/619,283.81 = 619,283.81/x
  3. Step 3: Cross multiply
    284,730.19x = 619,283.81 × 619,283.81
  4. Step 4: Simplify right side
    284,730.19x = 383,512,440,424.54
  5. Step 5: Solve for x
    x = 383,512,440,424.54/284,730.19
  6. Step 6: Final answer
    x = 1,346,932.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.