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Finding the Third Proportional to 326,592 and 494,808

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Solution

The third proportional to 326,592 and 494,808 is: 749,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,592 : 494,808 = 494,808 : x
  2. Step 2: Convert to fraction form
    326,592/494,808 = 494,808/x
  3. Step 3: Cross multiply
    326,592x = 494,808 × 494,808
  4. Step 4: Simplify right side
    326,592x = 244,834,956,864
  5. Step 5: Solve for x
    x = 244,834,956,864/326,592
  6. Step 6: Final answer
    x = 749,666.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.