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Finding the Third Proportional to 274,533 and 584,056.50

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Solution

The third proportional to 274,533 and 584,056.50 is: 1,242,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,533 : 584,056.50 = 584,056.50 : x
  2. Step 2: Convert to fraction form
    274,533/584,056.50 = 584,056.50/x
  3. Step 3: Cross multiply
    274,533x = 584,056.50 × 584,056.50
  4. Step 4: Simplify right side
    274,533x = 341,121,995,192.25
  5. Step 5: Solve for x
    x = 341,121,995,192.25/274,533
  6. Step 6: Final answer
    x = 1,242,553.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.