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Finding the Third Proportional to 384,490.55 and 841,471.03

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Solution

The third proportional to 384,490.55 and 841,471.03 is: 1,841,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,490.55 : 841,471.03 = 841,471.03 : x
  2. Step 2: Convert to fraction form
    384,490.55/841,471.03 = 841,471.03/x
  3. Step 3: Cross multiply
    384,490.55x = 841,471.03 × 841,471.03
  4. Step 4: Simplify right side
    384,490.55x = 708,073,496,432.94
  5. Step 5: Solve for x
    x = 708,073,496,432.94/384,490.55
  6. Step 6: Final answer
    x = 1,841,588.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.