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Finding the Third Proportional to 434,880.75 and 658,336.50

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Solution

The third proportional to 434,880.75 and 658,336.50 is: 996,611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,880.75 : 658,336.50 = 658,336.50 : x
  2. Step 2: Convert to fraction form
    434,880.75/658,336.50 = 658,336.50/x
  3. Step 3: Cross multiply
    434,880.75x = 658,336.50 × 658,336.50
  4. Step 4: Simplify right side
    434,880.75x = 433,406,947,232.25
  5. Step 5: Solve for x
    x = 433,406,947,232.25/434,880.75
  6. Step 6: Final answer
    x = 996,611.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.