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Finding the Third Proportional to 464,556.75 and 734,228.25

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Solution

The third proportional to 464,556.75 and 734,228.25 is: 1,160,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,556.75 : 734,228.25 = 734,228.25 : x
  2. Step 2: Convert to fraction form
    464,556.75/734,228.25 = 734,228.25/x
  3. Step 3: Cross multiply
    464,556.75x = 734,228.25 × 734,228.25
  4. Step 4: Simplify right side
    464,556.75x = 539,091,123,098.06
  5. Step 5: Solve for x
    x = 539,091,123,098.06/464,556.75
  6. Step 6: Final answer
    x = 1,160,441.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.