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Finding the Third Proportional to 277,346 and 596,184

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Solution

The third proportional to 277,346 and 596,184 is: 1,281,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,346 : 596,184 = 596,184 : x
  2. Step 2: Convert to fraction form
    277,346/596,184 = 596,184/x
  3. Step 3: Cross multiply
    277,346x = 596,184 × 596,184
  4. Step 4: Simplify right side
    277,346x = 355,435,361,856
  5. Step 5: Solve for x
    x = 355,435,361,856/277,346
  6. Step 6: Final answer
    x = 1,281,559.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.