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Finding the Third Proportional to 333,844.50 and 707,419.50

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Solution

The third proportional to 333,844.50 and 707,419.50 is: 1,499,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,844.50 : 707,419.50 = 707,419.50 : x
  2. Step 2: Convert to fraction form
    333,844.50/707,419.50 = 707,419.50/x
  3. Step 3: Cross multiply
    333,844.50x = 707,419.50 × 707,419.50
  4. Step 4: Simplify right side
    333,844.50x = 500,442,348,980.25
  5. Step 5: Solve for x
    x = 500,442,348,980.25/333,844.50
  6. Step 6: Final answer
    x = 1,499,028.29

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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.