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Finding the Third Proportional to 305,338 and 652,606.50

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Solution

The third proportional to 305,338 and 652,606.50 is: 1,394,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,338 : 652,606.50 = 652,606.50 : x
  2. Step 2: Convert to fraction form
    305,338/652,606.50 = 652,606.50/x
  3. Step 3: Cross multiply
    305,338x = 652,606.50 × 652,606.50
  4. Step 4: Simplify right side
    305,338x = 425,895,243,842.25
  5. Step 5: Solve for x
    x = 425,895,243,842.25/305,338
  6. Step 6: Final answer
    x = 1,394,832.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.