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Finding the Third Proportional to 688,687.50 and 1,495,315.50

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Solution

The third proportional to 688,687.50 and 1,495,315.50 is: 3,246,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,687.50 : 1,495,315.50 = 1,495,315.50 : x
  2. Step 2: Convert to fraction form
    688,687.50/1,495,315.50 = 1,495,315.50/x
  3. Step 3: Cross multiply
    688,687.50x = 1,495,315.50 × 1,495,315.50
  4. Step 4: Simplify right side
    688,687.50x = 2,235,968,444,540.25
  5. Step 5: Solve for x
    x = 2,235,968,444,540.25/688,687.50
  6. Step 6: Final answer
    x = 3,246,709.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.