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Finding the Third Proportional to 583,949.25 and 1,255,189.50

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Solution

The third proportional to 583,949.25 and 1,255,189.50 is: 2,698,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,949.25 : 1,255,189.50 = 1,255,189.50 : x
  2. Step 2: Convert to fraction form
    583,949.25/1,255,189.50 = 1,255,189.50/x
  3. Step 3: Cross multiply
    583,949.25x = 1,255,189.50 × 1,255,189.50
  4. Step 4: Simplify right side
    583,949.25x = 1,575,500,680,910.25
  5. Step 5: Solve for x
    x = 1,575,500,680,910.25/583,949.25
  6. Step 6: Final answer
    x = 2,698,009.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.