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Finding the Third Proportional to 596,184 and 886,176

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Solution

The third proportional to 596,184 and 886,176 is: 1,317,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,184 : 886,176 = 886,176 : x
  2. Step 2: Convert to fraction form
    596,184/886,176 = 886,176/x
  3. Step 3: Cross multiply
    596,184x = 886,176 × 886,176
  4. Step 4: Simplify right side
    596,184x = 785,307,902,976
  5. Step 5: Solve for x
    x = 785,307,902,976/596,184
  6. Step 6: Final answer
    x = 1,317,224.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.