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Finding the Third Proportional to 333,262 and 719,756

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Solution

The third proportional to 333,262 and 719,756 is: 1,554,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,262 : 719,756 = 719,756 : x
  2. Step 2: Convert to fraction form
    333,262/719,756 = 719,756/x
  3. Step 3: Cross multiply
    333,262x = 719,756 × 719,756
  4. Step 4: Simplify right side
    333,262x = 518,048,699,536
  5. Step 5: Solve for x
    x = 518,048,699,536/333,262
  6. Step 6: Final answer
    x = 1,554,478.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.