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Finding the Third Proportional to 384,550.50 and 841,509

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Solution

The third proportional to 384,550.50 and 841,509 is: 1,841,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,550.50 : 841,509 = 841,509 : x
  2. Step 2: Convert to fraction form
    384,550.50/841,509 = 841,509/x
  3. Step 3: Cross multiply
    384,550.50x = 841,509 × 841,509
  4. Step 4: Simplify right side
    384,550.50x = 708,137,397,081
  5. Step 5: Solve for x
    x = 708,137,397,081/384,550.50
  6. Step 6: Final answer
    x = 1,841,467.89

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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.