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Finding the Third Proportional to 724,504.50 and 1,113,790.50

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Solution

The third proportional to 724,504.50 and 1,113,790.50 is: 1,712,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,504.50 : 1,113,790.50 = 1,113,790.50 : x
  2. Step 2: Convert to fraction form
    724,504.50/1,113,790.50 = 1,113,790.50/x
  3. Step 3: Cross multiply
    724,504.50x = 1,113,790.50 × 1,113,790.50
  4. Step 4: Simplify right side
    724,504.50x = 1,240,529,277,890.25
  5. Step 5: Solve for x
    x = 1,240,529,277,890.25/724,504.50
  6. Step 6: Final answer
    x = 1,712,245.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.