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Finding the Third Proportional to 461,409.75 and 722,355.75

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Solution

The third proportional to 461,409.75 and 722,355.75 is: 1,130,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,409.75 : 722,355.75 = 722,355.75 : x
  2. Step 2: Convert to fraction form
    461,409.75/722,355.75 = 722,355.75/x
  3. Step 3: Cross multiply
    461,409.75x = 722,355.75 × 722,355.75
  4. Step 4: Simplify right side
    461,409.75x = 521,797,829,558.06
  5. Step 5: Solve for x
    x = 521,797,829,558.06/461,409.75
  6. Step 6: Final answer
    x = 1,130,877.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.