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Finding the Third Proportional to 312,903 and 756,337.50

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Solution

The third proportional to 312,903 and 756,337.50 is: 1,828,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,903 : 756,337.50 = 756,337.50 : x
  2. Step 2: Convert to fraction form
    312,903/756,337.50 = 756,337.50/x
  3. Step 3: Cross multiply
    312,903x = 756,337.50 × 756,337.50
  4. Step 4: Simplify right side
    312,903x = 572,046,413,906.25
  5. Step 5: Solve for x
    x = 572,046,413,906.25/312,903
  6. Step 6: Final answer
    x = 1,828,190.89

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.