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Finding the Third Proportional to 493,957.50 and 744,828

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Solution

The third proportional to 493,957.50 and 744,828 is: 1,123,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,957.50 : 744,828 = 744,828 : x
  2. Step 2: Convert to fraction form
    493,957.50/744,828 = 744,828/x
  3. Step 3: Cross multiply
    493,957.50x = 744,828 × 744,828
  4. Step 4: Simplify right side
    493,957.50x = 554,768,749,584
  5. Step 5: Solve for x
    x = 554,768,749,584/493,957.50
  6. Step 6: Final answer
    x = 1,123,110.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.