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Finding the Third Proportional to 432,838.13 and 646,834.50

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Solution

The third proportional to 432,838.13 and 646,834.50 is: 966,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,838.13 : 646,834.50 = 646,834.50 : x
  2. Step 2: Convert to fraction form
    432,838.13/646,834.50 = 646,834.50/x
  3. Step 3: Cross multiply
    432,838.13x = 646,834.50 × 646,834.50
  4. Step 4: Simplify right side
    432,838.13x = 418,394,870,390.25
  5. Step 5: Solve for x
    x = 418,394,870,390.25/432,838.13
  6. Step 6: Final answer
    x = 966,631.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.