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Finding the Third Proportional to 515,993.63 and 758,823.75

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Solution

The third proportional to 515,993.63 and 758,823.75 is: 1,115,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,993.63 : 758,823.75 = 758,823.75 : x
  2. Step 2: Convert to fraction form
    515,993.63/758,823.75 = 758,823.75/x
  3. Step 3: Cross multiply
    515,993.63x = 758,823.75 × 758,823.75
  4. Step 4: Simplify right side
    515,993.63x = 575,813,483,564.06
  5. Step 5: Solve for x
    x = 575,813,483,564.06/515,993.63
  6. Step 6: Final answer
    x = 1,115,931.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.