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Finding the Third Proportional to 328,582.50 and 494,332.50

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Solution

The third proportional to 328,582.50 and 494,332.50 is: 743,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,582.50 : 494,332.50 = 494,332.50 : x
  2. Step 2: Convert to fraction form
    328,582.50/494,332.50 = 494,332.50/x
  3. Step 3: Cross multiply
    328,582.50x = 494,332.50 × 494,332.50
  4. Step 4: Simplify right side
    328,582.50x = 244,364,620,556.25
  5. Step 5: Solve for x
    x = 244,364,620,556.25/328,582.50
  6. Step 6: Final answer
    x = 743,693.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.