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Finding the Third Proportional to 657,477 and 962,568.56

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Solution

The third proportional to 657,477 and 962,568.56 is: 1,409,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,477 : 962,568.56 = 962,568.56 : x
  2. Step 2: Convert to fraction form
    657,477/962,568.56 = 962,568.56/x
  3. Step 3: Cross multiply
    657,477x = 962,568.56 × 962,568.56
  4. Step 4: Simplify right side
    657,477x = 926,538,237,513.32
  5. Step 5: Solve for x
    x = 926,538,237,513.32/657,477
  6. Step 6: Final answer
    x = 1,409,232.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.