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Finding the Third Proportional to 681,277.50 and 977,629.50

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Solution

The third proportional to 681,277.50 and 977,629.50 is: 1,402,893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,277.50 : 977,629.50 = 977,629.50 : x
  2. Step 2: Convert to fraction form
    681,277.50/977,629.50 = 977,629.50/x
  3. Step 3: Cross multiply
    681,277.50x = 977,629.50 × 977,629.50
  4. Step 4: Simplify right side
    681,277.50x = 955,759,439,270.25
  5. Step 5: Solve for x
    x = 955,759,439,270.25/681,277.50
  6. Step 6: Final answer
    x = 1,402,893.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.