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Finding the Third Proportional to 526,407.75 and 786,098.25

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Solution

The third proportional to 526,407.75 and 786,098.25 is: 1,173,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,407.75 : 786,098.25 = 786,098.25 : x
  2. Step 2: Convert to fraction form
    526,407.75/786,098.25 = 786,098.25/x
  3. Step 3: Cross multiply
    526,407.75x = 786,098.25 × 786,098.25
  4. Step 4: Simplify right side
    526,407.75x = 617,950,458,653.06
  5. Step 5: Solve for x
    x = 617,950,458,653.06/526,407.75
  6. Step 6: Final answer
    x = 1,173,900.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.