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Finding the Third Proportional to 297,690.19 and 702,619.31

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Solution

The third proportional to 297,690.19 and 702,619.31 is: 1,658,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,690.19 : 702,619.31 = 702,619.31 : x
  2. Step 2: Convert to fraction form
    297,690.19/702,619.31 = 702,619.31/x
  3. Step 3: Cross multiply
    297,690.19x = 702,619.31 × 702,619.31
  4. Step 4: Simplify right side
    297,690.19x = 493,673,898,297.97
  5. Step 5: Solve for x
    x = 493,673,898,297.97/297,690.19
  6. Step 6: Final answer
    x = 1,658,347.90

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.