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Finding the Third Proportional to 333,081 and 713,754

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Solution

The third proportional to 333,081 and 713,754 is: 1,529,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,081 : 713,754 = 713,754 : x
  2. Step 2: Convert to fraction form
    333,081/713,754 = 713,754/x
  3. Step 3: Cross multiply
    333,081x = 713,754 × 713,754
  4. Step 4: Simplify right side
    333,081x = 509,444,772,516
  5. Step 5: Solve for x
    x = 509,444,772,516/333,081
  6. Step 6: Final answer
    x = 1,529,492.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.