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Finding the Third Proportional to 464,874.19 and 694,577.53

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Solution

The third proportional to 464,874.19 and 694,577.53 is: 1,037,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,874.19 : 694,577.53 = 694,577.53 : x
  2. Step 2: Convert to fraction form
    464,874.19/694,577.53 = 694,577.53/x
  3. Step 3: Cross multiply
    464,874.19x = 694,577.53 × 694,577.53
  4. Step 4: Simplify right side
    464,874.19x = 482,437,946,917.35
  5. Step 5: Solve for x
    x = 482,437,946,917.35/464,874.19
  6. Step 6: Final answer
    x = 1,037,781.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.