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Finding the Third Proportional to 328,769 and 495,044

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Solution

The third proportional to 328,769 and 495,044 is: 745,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,769 : 495,044 = 495,044 : x
  2. Step 2: Convert to fraction form
    328,769/495,044 = 495,044/x
  3. Step 3: Cross multiply
    328,769x = 495,044 × 495,044
  4. Step 4: Simplify right side
    328,769x = 245,068,561,936
  5. Step 5: Solve for x
    x = 245,068,561,936/328,769
  6. Step 6: Final answer
    x = 745,412.62

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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.