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Finding the Third Proportional to 434,906.50 and 899,646.50

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Solution

The third proportional to 434,906.50 and 899,646.50 is: 1,861,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,906.50 : 899,646.50 = 899,646.50 : x
  2. Step 2: Convert to fraction form
    434,906.50/899,646.50 = 899,646.50/x
  3. Step 3: Cross multiply
    434,906.50x = 899,646.50 × 899,646.50
  4. Step 4: Simplify right side
    434,906.50x = 809,363,824,962.25
  5. Step 5: Solve for x
    x = 809,363,824,962.25/434,906.50
  6. Step 6: Final answer
    x = 1,861,006.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.