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Finding the Third Proportional to 252,574.50 and 545,209.75

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Solution

The third proportional to 252,574.50 and 545,209.75 is: 1,176,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,574.50 : 545,209.75 = 545,209.75 : x
  2. Step 2: Convert to fraction form
    252,574.50/545,209.75 = 545,209.75/x
  3. Step 3: Cross multiply
    252,574.50x = 545,209.75 × 545,209.75
  4. Step 4: Simplify right side
    252,574.50x = 297,253,671,495.06
  5. Step 5: Solve for x
    x = 297,253,671,495.06/252,574.50
  6. Step 6: Final answer
    x = 1,176,895.02

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