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Finding the Third Proportional to 409,668 and 596,490

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Solution

The third proportional to 409,668 and 596,490 is: 868,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,668 : 596,490 = 596,490 : x
  2. Step 2: Convert to fraction form
    409,668/596,490 = 596,490/x
  3. Step 3: Cross multiply
    409,668x = 596,490 × 596,490
  4. Step 4: Simplify right side
    409,668x = 355,800,320,100
  5. Step 5: Solve for x
    x = 355,800,320,100/409,668
  6. Step 6: Final answer
    x = 868,508.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.