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Finding the Third Proportional to 500,355 and 737,298

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Solution

The third proportional to 500,355 and 737,298 is: 1,086,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,355 : 737,298 = 737,298 : x
  2. Step 2: Convert to fraction form
    500,355/737,298 = 737,298/x
  3. Step 3: Cross multiply
    500,355x = 737,298 × 737,298
  4. Step 4: Simplify right side
    500,355x = 543,608,340,804
  5. Step 5: Solve for x
    x = 543,608,340,804/500,355
  6. Step 6: Final answer
    x = 1,086,445.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.