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Finding the Third Proportional to 252,527.63 and 545,114.81

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Solution

The third proportional to 252,527.63 and 545,114.81 is: 1,176,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,527.63 : 545,114.81 = 545,114.81 : x
  2. Step 2: Convert to fraction form
    252,527.63/545,114.81 = 545,114.81/x
  3. Step 3: Cross multiply
    252,527.63x = 545,114.81 × 545,114.81
  4. Step 4: Simplify right side
    252,527.63x = 297,150,158,806.91
  5. Step 5: Solve for x
    x = 297,150,158,806.91/252,527.63
  6. Step 6: Final answer
    x = 1,176,703.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.