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Finding the Third Proportional to 579,771 and 844,465.50

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Solution

The third proportional to 579,771 and 844,465.50 is: 1,230,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,771 : 844,465.50 = 844,465.50 : x
  2. Step 2: Convert to fraction form
    579,771/844,465.50 = 844,465.50/x
  3. Step 3: Cross multiply
    579,771x = 844,465.50 × 844,465.50
  4. Step 4: Simplify right side
    579,771x = 713,121,980,690.25
  5. Step 5: Solve for x
    x = 713,121,980,690.25/579,771
  6. Step 6: Final answer
    x = 1,230,006.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.