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Finding the Third Proportional to 482,389 and 709,131

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Solution

The third proportional to 482,389 and 709,131 is: 1,042,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,389 : 709,131 = 709,131 : x
  2. Step 2: Convert to fraction form
    482,389/709,131 = 709,131/x
  3. Step 3: Cross multiply
    482,389x = 709,131 × 709,131
  4. Step 4: Simplify right side
    482,389x = 502,866,775,161
  5. Step 5: Solve for x
    x = 502,866,775,161/482,389
  6. Step 6: Final answer
    x = 1,042,450.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.