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Finding the Third Proportional to 252,446.63 and 388,000.13

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Solution

The third proportional to 252,446.63 and 388,000.13 is: 596,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,446.63 : 388,000.13 = 388,000.13 : x
  2. Step 2: Convert to fraction form
    252,446.63/388,000.13 = 388,000.13/x
  3. Step 3: Cross multiply
    252,446.63x = 388,000.13 × 388,000.13
  4. Step 4: Simplify right side
    252,446.63x = 150,544,097,000.02
  5. Step 5: Solve for x
    x = 150,544,097,000.02/252,446.63
  6. Step 6: Final answer
    x = 596,340.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.