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Finding the Third Proportional to 733,828.50 and 1,122,628.50

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Solution

The third proportional to 733,828.50 and 1,122,628.50 is: 1,717,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,828.50 : 1,122,628.50 = 1,122,628.50 : x
  2. Step 2: Convert to fraction form
    733,828.50/1,122,628.50 = 1,122,628.50/x
  3. Step 3: Cross multiply
    733,828.50x = 1,122,628.50 × 1,122,628.50
  4. Step 4: Simplify right side
    733,828.50x = 1,260,294,749,012.25
  5. Step 5: Solve for x
    x = 1,260,294,749,012.25/733,828.50
  6. Step 6: Final answer
    x = 1,717,424.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.