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Finding the Third Proportional to 434,660.50 and 916,517

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Solution

The third proportional to 434,660.50 and 916,517 is: 1,932,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,660.50 : 916,517 = 916,517 : x
  2. Step 2: Convert to fraction form
    434,660.50/916,517 = 916,517/x
  3. Step 3: Cross multiply
    434,660.50x = 916,517 × 916,517
  4. Step 4: Simplify right side
    434,660.50x = 840,003,411,289
  5. Step 5: Solve for x
    x = 840,003,411,289/434,660.50
  6. Step 6: Final answer
    x = 1,932,550.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.