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Finding the Third Proportional to 578,299.50 and 1,253,124

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Solution

The third proportional to 578,299.50 and 1,253,124 is: 2,715,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,299.50 : 1,253,124 = 1,253,124 : x
  2. Step 2: Convert to fraction form
    578,299.50/1,253,124 = 1,253,124/x
  3. Step 3: Cross multiply
    578,299.50x = 1,253,124 × 1,253,124
  4. Step 4: Simplify right side
    578,299.50x = 1,570,319,759,376
  5. Step 5: Solve for x
    x = 1,570,319,759,376/578,299.50
  6. Step 6: Final answer
    x = 2,715,409.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.