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Finding the Third Proportional to 402,304.50 and 837,677.25

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Solution

The third proportional to 402,304.50 and 837,677.25 is: 1,744,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,304.50 : 837,677.25 = 837,677.25 : x
  2. Step 2: Convert to fraction form
    402,304.50/837,677.25 = 837,677.25/x
  3. Step 3: Cross multiply
    402,304.50x = 837,677.25 × 837,677.25
  4. Step 4: Simplify right side
    402,304.50x = 701,703,175,167.56
  5. Step 5: Solve for x
    x = 701,703,175,167.56/402,304.50
  6. Step 6: Final answer
    x = 1,744,209.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.