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Finding the Third Proportional to 596,650.50 and 903,642.75

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Solution

The third proportional to 596,650.50 and 903,642.75 is: 1,368,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,650.50 : 903,642.75 = 903,642.75 : x
  2. Step 2: Convert to fraction form
    596,650.50/903,642.75 = 903,642.75/x
  3. Step 3: Cross multiply
    596,650.50x = 903,642.75 × 903,642.75
  4. Step 4: Simplify right side
    596,650.50x = 816,570,219,627.56
  5. Step 5: Solve for x
    x = 816,570,219,627.56/596,650.50
  6. Step 6: Final answer
    x = 1,368,590.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.