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Finding the Third Proportional to 350,323.50 and 470,728.50

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Solution

The third proportional to 350,323.50 and 470,728.50 is: 632,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,323.50 : 470,728.50 = 470,728.50 : x
  2. Step 2: Convert to fraction form
    350,323.50/470,728.50 = 470,728.50/x
  3. Step 3: Cross multiply
    350,323.50x = 470,728.50 × 470,728.50
  4. Step 4: Simplify right side
    350,323.50x = 221,585,320,712.25
  5. Step 5: Solve for x
    x = 221,585,320,712.25/350,323.50
  6. Step 6: Final answer
    x = 632,516.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.