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Finding the Third Proportional to 282,384.56 and 430,192.97

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Solution

The third proportional to 282,384.56 and 430,192.97 is: 655,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,384.56 : 430,192.97 = 430,192.97 : x
  2. Step 2: Convert to fraction form
    282,384.56/430,192.97 = 430,192.97/x
  3. Step 3: Cross multiply
    282,384.56x = 430,192.97 × 430,192.97
  4. Step 4: Simplify right side
    282,384.56x = 185,065,990,361.94
  5. Step 5: Solve for x
    x = 185,065,990,361.94/282,384.56
  6. Step 6: Final answer
    x = 655,368.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.