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Finding the Third Proportional to 668,969.25 and 953,629.88

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Solution

The third proportional to 668,969.25 and 953,629.88 is: 1,359,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,969.25 : 953,629.88 = 953,629.88 : x
  2. Step 2: Convert to fraction form
    668,969.25/953,629.88 = 953,629.88/x
  3. Step 3: Cross multiply
    668,969.25x = 953,629.88 × 953,629.88
  4. Step 4: Simplify right side
    668,969.25x = 909,409,938,492.52
  5. Step 5: Solve for x
    x = 909,409,938,492.52/668,969.25
  6. Step 6: Final answer
    x = 1,359,419.64

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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.