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Finding the Third Proportional to 481,386.80 and 749,683.71

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Solution

The third proportional to 481,386.80 and 749,683.71 is: 1,167,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,386.80 : 749,683.71 = 749,683.71 : x
  2. Step 2: Convert to fraction form
    481,386.80/749,683.71 = 749,683.71/x
  3. Step 3: Cross multiply
    481,386.80x = 749,683.71 × 749,683.71
  4. Step 4: Simplify right side
    481,386.80x = 562,025,670,837.72
  5. Step 5: Solve for x
    x = 562,025,670,837.72/481,386.80
  6. Step 6: Final answer
    x = 1,167,513.68

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.