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Finding the Third Proportional to 580,188 and 900,252

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Solution

The third proportional to 580,188 and 900,252 is: 1,396,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,188 : 900,252 = 900,252 : x
  2. Step 2: Convert to fraction form
    580,188/900,252 = 900,252/x
  3. Step 3: Cross multiply
    580,188x = 900,252 × 900,252
  4. Step 4: Simplify right side
    580,188x = 810,453,663,504
  5. Step 5: Solve for x
    x = 810,453,663,504/580,188
  6. Step 6: Final answer
    x = 1,396,881.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.