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Finding the Third Proportional to 341,850 and 733,368.75

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Solution

The third proportional to 341,850 and 733,368.75 is: 1,573,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,850 : 733,368.75 = 733,368.75 : x
  2. Step 2: Convert to fraction form
    341,850/733,368.75 = 733,368.75/x
  3. Step 3: Cross multiply
    341,850x = 733,368.75 × 733,368.75
  4. Step 4: Simplify right side
    341,850x = 537,829,723,476.56
  5. Step 5: Solve for x
    x = 537,829,723,476.56/341,850
  6. Step 6: Final answer
    x = 1,573,291.57

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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.