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Finding the Third Proportional to 583,305 and 1,278,735

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Solution

The third proportional to 583,305 and 1,278,735 is: 2,803,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,305 : 1,278,735 = 1,278,735 : x
  2. Step 2: Convert to fraction form
    583,305/1,278,735 = 1,278,735/x
  3. Step 3: Cross multiply
    583,305x = 1,278,735 × 1,278,735
  4. Step 4: Simplify right side
    583,305x = 1,635,163,200,225
  5. Step 5: Solve for x
    x = 1,635,163,200,225/583,305
  6. Step 6: Final answer
    x = 2,803,273.07

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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.