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Finding the Third Proportional to 287,406.75 and 435,086.25

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Solution

The third proportional to 287,406.75 and 435,086.25 is: 658,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,406.75 : 435,086.25 = 435,086.25 : x
  2. Step 2: Convert to fraction form
    287,406.75/435,086.25 = 435,086.25/x
  3. Step 3: Cross multiply
    287,406.75x = 435,086.25 × 435,086.25
  4. Step 4: Simplify right side
    287,406.75x = 189,300,044,939.06
  5. Step 5: Solve for x
    x = 189,300,044,939.06/287,406.75
  6. Step 6: Final answer
    x = 658,648.57

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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.