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Finding the Third Proportional to 341,796 and 736,184

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Solution

The third proportional to 341,796 and 736,184 is: 1,585,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,796 : 736,184 = 736,184 : x
  2. Step 2: Convert to fraction form
    341,796/736,184 = 736,184/x
  3. Step 3: Cross multiply
    341,796x = 736,184 × 736,184
  4. Step 4: Simplify right side
    341,796x = 541,966,881,856
  5. Step 5: Solve for x
    x = 541,966,881,856/341,796
  6. Step 6: Final answer
    x = 1,585,644.31

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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.