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Finding the Third Proportional to 333,536 and 499,392

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Solution

The third proportional to 333,536 and 499,392 is: 747,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,536 : 499,392 = 499,392 : x
  2. Step 2: Convert to fraction form
    333,536/499,392 = 499,392/x
  3. Step 3: Cross multiply
    333,536x = 499,392 × 499,392
  4. Step 4: Simplify right side
    333,536x = 249,392,369,664
  5. Step 5: Solve for x
    x = 249,392,369,664/333,536
  6. Step 6: Final answer
    x = 747,722.49

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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.