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Finding the Third Proportional to 526,396 and 786,085

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Solution

The third proportional to 526,396 and 786,085 is: 1,173,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,396 : 786,085 = 786,085 : x
  2. Step 2: Convert to fraction form
    526,396/786,085 = 786,085/x
  3. Step 3: Cross multiply
    526,396x = 786,085 × 786,085
  4. Step 4: Simplify right side
    526,396x = 617,929,627,225
  5. Step 5: Solve for x
    x = 617,929,627,225/526,396
  6. Step 6: Final answer
    x = 1,173,887.39

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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.