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Finding the Third Proportional to 657,309 and 983,337

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Solution

The third proportional to 657,309 and 983,337 is: 1,471,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,309 : 983,337 = 983,337 : x
  2. Step 2: Convert to fraction form
    657,309/983,337 = 983,337/x
  3. Step 3: Cross multiply
    657,309x = 983,337 × 983,337
  4. Step 4: Simplify right side
    657,309x = 966,951,655,569
  5. Step 5: Solve for x
    x = 966,951,655,569/657,309
  6. Step 6: Final answer
    x = 1,471,076.25

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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.