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Finding the Third Proportional to 657,456.75 and 983,562.75

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Solution

The third proportional to 657,456.75 and 983,562.75 is: 1,471,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,456.75 : 983,562.75 = 983,562.75 : x
  2. Step 2: Convert to fraction form
    657,456.75/983,562.75 = 983,562.75/x
  3. Step 3: Cross multiply
    657,456.75x = 983,562.75 × 983,562.75
  4. Step 4: Simplify right side
    657,456.75x = 967,395,683,187.56
  5. Step 5: Solve for x
    x = 967,395,683,187.56/657,456.75
  6. Step 6: Final answer
    x = 1,471,421.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.