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Finding the Third Proportional to 341,898.75 and 733,642.50

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Solution

The third proportional to 341,898.75 and 733,642.50 is: 1,574,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,898.75 : 733,642.50 = 733,642.50 : x
  2. Step 2: Convert to fraction form
    341,898.75/733,642.50 = 733,642.50/x
  3. Step 3: Cross multiply
    341,898.75x = 733,642.50 × 733,642.50
  4. Step 4: Simplify right side
    341,898.75x = 538,231,317,806.25
  5. Step 5: Solve for x
    x = 538,231,317,806.25/341,898.75
  6. Step 6: Final answer
    x = 1,574,241.84

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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.