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Finding the Third Proportional to 341,783 and 736,158

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Solution

The third proportional to 341,783 and 736,158 is: 1,585,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,783 : 736,158 = 736,158 : x
  2. Step 2: Convert to fraction form
    341,783/736,158 = 736,158/x
  3. Step 3: Cross multiply
    341,783x = 736,158 × 736,158
  4. Step 4: Simplify right side
    341,783x = 541,928,600,964
  5. Step 5: Solve for x
    x = 541,928,600,964/341,783
  6. Step 6: Final answer
    x = 1,585,592.62

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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.