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Finding the Third Proportional to 565,120 and 792,013

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Solution

The third proportional to 565,120 and 792,013 is: 1,110,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,120 : 792,013 = 792,013 : x
  2. Step 2: Convert to fraction form
    565,120/792,013 = 792,013/x
  3. Step 3: Cross multiply
    565,120x = 792,013 × 792,013
  4. Step 4: Simplify right side
    565,120x = 627,284,592,169
  5. Step 5: Solve for x
    x = 627,284,592,169/565,120
  6. Step 6: Final answer
    x = 1,110,002.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.