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Finding the Third Proportional to 670,200 and 880,884

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Solution

The third proportional to 670,200 and 880,884 is: 1,157,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,200 : 880,884 = 880,884 : x
  2. Step 2: Convert to fraction form
    670,200/880,884 = 880,884/x
  3. Step 3: Cross multiply
    670,200x = 880,884 × 880,884
  4. Step 4: Simplify right side
    670,200x = 775,956,621,456
  5. Step 5: Solve for x
    x = 775,956,621,456/670,200
  6. Step 6: Final answer
    x = 1,157,798.60

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.