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Finding the Third Proportional to 749,047.50 and 1,158,529.08

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Solution

The third proportional to 749,047.50 and 1,158,529.08 is: 1,791,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,047.50 : 1,158,529.08 = 1,158,529.08 : x
  2. Step 2: Convert to fraction form
    749,047.50/1,158,529.08 = 1,158,529.08/x
  3. Step 3: Cross multiply
    749,047.50x = 1,158,529.08 × 1,158,529.08
  4. Step 4: Simplify right side
    749,047.50x = 1,342,189,624,861.16
  5. Step 5: Solve for x
    x = 1,342,189,624,861.16/749,047.50
  6. Step 6: Final answer
    x = 1,791,861.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.