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Finding the Third Proportional to 596,917.75 and 925,643.50

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Solution

The third proportional to 596,917.75 and 925,643.50 is: 1,435,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,917.75 : 925,643.50 = 925,643.50 : x
  2. Step 2: Convert to fraction form
    596,917.75/925,643.50 = 925,643.50/x
  3. Step 3: Cross multiply
    596,917.75x = 925,643.50 × 925,643.50
  4. Step 4: Simplify right side
    596,917.75x = 856,815,889,092.25
  5. Step 5: Solve for x
    x = 856,815,889,092.25/596,917.75
  6. Step 6: Final answer
    x = 1,435,400.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.