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Finding the Third Proportional to 311,610 and 688,612.50

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Solution

The third proportional to 311,610 and 688,612.50 is: 1,521,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,610 : 688,612.50 = 688,612.50 : x
  2. Step 2: Convert to fraction form
    311,610/688,612.50 = 688,612.50/x
  3. Step 3: Cross multiply
    311,610x = 688,612.50 × 688,612.50
  4. Step 4: Simplify right side
    311,610x = 474,187,175,156.25
  5. Step 5: Solve for x
    x = 474,187,175,156.25/311,610
  6. Step 6: Final answer
    x = 1,521,732.86

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.