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Finding the Third Proportional to 328,033 and 490,341

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Solution

The third proportional to 328,033 and 490,341 is: 732,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,033 : 490,341 = 490,341 : x
  2. Step 2: Convert to fraction form
    328,033/490,341 = 490,341/x
  3. Step 3: Cross multiply
    328,033x = 490,341 × 490,341
  4. Step 4: Simplify right side
    328,033x = 240,434,296,281
  5. Step 5: Solve for x
    x = 240,434,296,281/328,033
  6. Step 6: Final answer
    x = 732,957.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.