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Finding the Third Proportional to 360,564.75 and 522,244.13

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Solution

The third proportional to 360,564.75 and 522,244.13 is: 756,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,564.75 : 522,244.13 = 522,244.13 : x
  2. Step 2: Convert to fraction form
    360,564.75/522,244.13 = 522,244.13/x
  3. Step 3: Cross multiply
    360,564.75x = 522,244.13 × 522,244.13
  4. Step 4: Simplify right side
    360,564.75x = 272,738,926,097.02
  5. Step 5: Solve for x
    x = 272,738,926,097.02/360,564.75
  6. Step 6: Final answer
    x = 756,421.49

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.