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Finding the Third Proportional to 653,836.50 and 1,017,690.75

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Solution

The third proportional to 653,836.50 and 1,017,690.75 is: 1,584,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,836.50 : 1,017,690.75 = 1,017,690.75 : x
  2. Step 2: Convert to fraction form
    653,836.50/1,017,690.75 = 1,017,690.75/x
  3. Step 3: Cross multiply
    653,836.50x = 1,017,690.75 × 1,017,690.75
  4. Step 4: Simplify right side
    653,836.50x = 1,035,694,462,635.56
  5. Step 5: Solve for x
    x = 1,035,694,462,635.56/653,836.50
  6. Step 6: Final answer
    x = 1,584,026.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.