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Finding the Third Proportional to 340,051.50 and 733,206

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Solution

The third proportional to 340,051.50 and 733,206 is: 1,580,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,051.50 : 733,206 = 733,206 : x
  2. Step 2: Convert to fraction form
    340,051.50/733,206 = 733,206/x
  3. Step 3: Cross multiply
    340,051.50x = 733,206 × 733,206
  4. Step 4: Simplify right side
    340,051.50x = 537,591,038,436
  5. Step 5: Solve for x
    x = 537,591,038,436/340,051.50
  6. Step 6: Final answer
    x = 1,580,910.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.