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Finding the Third Proportional to 399,312 and 867,636

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Solution

The third proportional to 399,312 and 867,636 is: 1,885,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,312 : 867,636 = 867,636 : x
  2. Step 2: Convert to fraction form
    399,312/867,636 = 867,636/x
  3. Step 3: Cross multiply
    399,312x = 867,636 × 867,636
  4. Step 4: Simplify right side
    399,312x = 752,792,228,496
  5. Step 5: Solve for x
    x = 752,792,228,496/399,312
  6. Step 6: Final answer
    x = 1,885,223.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.