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Finding the Third Proportional to 333,849 and 707,428.50

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Solution

The third proportional to 333,849 and 707,428.50 is: 1,499,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,849 : 707,428.50 = 707,428.50 : x
  2. Step 2: Convert to fraction form
    333,849/707,428.50 = 707,428.50/x
  3. Step 3: Cross multiply
    333,849x = 707,428.50 × 707,428.50
  4. Step 4: Simplify right side
    333,849x = 500,455,082,612.25
  5. Step 5: Solve for x
    x = 500,455,082,612.25/333,849
  6. Step 6: Final answer
    x = 1,499,046.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.