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Finding the Third Proportional to 482,925.48 and 764,523.09

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Solution

The third proportional to 482,925.48 and 764,523.09 is: 1,210,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,925.48 : 764,523.09 = 764,523.09 : x
  2. Step 2: Convert to fraction form
    482,925.48/764,523.09 = 764,523.09/x
  3. Step 3: Cross multiply
    482,925.48x = 764,523.09 × 764,523.09
  4. Step 4: Simplify right side
    482,925.48x = 584,495,551,917.81
  5. Step 5: Solve for x
    x = 584,495,551,917.81/482,925.48
  6. Step 6: Final answer
    x = 1,210,322.45

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.