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Finding the Third Proportional to 569,200 and 855,312

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Solution

The third proportional to 569,200 and 855,312 is: 1,285,240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,200 : 855,312 = 855,312 : x
  2. Step 2: Convert to fraction form
    569,200/855,312 = 855,312/x
  3. Step 3: Cross multiply
    569,200x = 855,312 × 855,312
  4. Step 4: Simplify right side
    569,200x = 731,558,617,344
  5. Step 5: Solve for x
    x = 731,558,617,344/569,200
  6. Step 6: Final answer
    x = 1,285,240.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.