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Finding the Third Proportional to 580,234 and 900,322

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Solution

The third proportional to 580,234 and 900,322 is: 1,396,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,234 : 900,322 = 900,322 : x
  2. Step 2: Convert to fraction form
    580,234/900,322 = 900,322/x
  3. Step 3: Cross multiply
    580,234x = 900,322 × 900,322
  4. Step 4: Simplify right side
    580,234x = 810,579,703,684
  5. Step 5: Solve for x
    x = 810,579,703,684/580,234
  6. Step 6: Final answer
    x = 1,396,987.60

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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.