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Finding the Third Proportional to 333,661 and 719,811

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Solution

The third proportional to 333,661 and 719,811 is: 1,552,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,661 : 719,811 = 719,811 : x
  2. Step 2: Convert to fraction form
    333,661/719,811 = 719,811/x
  3. Step 3: Cross multiply
    333,661x = 719,811 × 719,811
  4. Step 4: Simplify right side
    333,661x = 518,127,875,721
  5. Step 5: Solve for x
    x = 518,127,875,721/333,661
  6. Step 6: Final answer
    x = 1,552,857.17

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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.