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Finding the Third Proportional to 345,156 and 738,288

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Solution

The third proportional to 345,156 and 738,288 is: 1,579,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,156 : 738,288 = 738,288 : x
  2. Step 2: Convert to fraction form
    345,156/738,288 = 738,288/x
  3. Step 3: Cross multiply
    345,156x = 738,288 × 738,288
  4. Step 4: Simplify right side
    345,156x = 545,069,170,944
  5. Step 5: Solve for x
    x = 545,069,170,944/345,156
  6. Step 6: Final answer
    x = 1,579,196.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.