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Finding the Third Proportional to 509,717 and 713,095

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Solution

The third proportional to 509,717 and 713,095 is: 997,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,717 : 713,095 = 713,095 : x
  2. Step 2: Convert to fraction form
    509,717/713,095 = 713,095/x
  3. Step 3: Cross multiply
    509,717x = 713,095 × 713,095
  4. Step 4: Simplify right side
    509,717x = 508,504,479,025
  5. Step 5: Solve for x
    x = 508,504,479,025/509,717
  6. Step 6: Final answer
    x = 997,621.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.