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Finding the Third Proportional to 305,394 and 456,687

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Solution

The third proportional to 305,394 and 456,687 is: 682,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,394 : 456,687 = 456,687 : x
  2. Step 2: Convert to fraction form
    305,394/456,687 = 456,687/x
  3. Step 3: Cross multiply
    305,394x = 456,687 × 456,687
  4. Step 4: Simplify right side
    305,394x = 208,563,015,969
  5. Step 5: Solve for x
    x = 208,563,015,969/305,394
  6. Step 6: Final answer
    x = 682,930.95

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