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Finding the Third Proportional to 413,202 and 581,859

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Solution

The third proportional to 413,202 and 581,859 is: 819,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,202 : 581,859 = 581,859 : x
  2. Step 2: Convert to fraction form
    413,202/581,859 = 581,859/x
  3. Step 3: Cross multiply
    413,202x = 581,859 × 581,859
  4. Step 4: Simplify right side
    413,202x = 338,559,895,881
  5. Step 5: Solve for x
    x = 338,559,895,881/413,202
  6. Step 6: Final answer
    x = 819,356.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.