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Finding the Third Proportional to 830,797.50 and 1,244,809.50

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Solution

The third proportional to 830,797.50 and 1,244,809.50 is: 1,865,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,797.50 : 1,244,809.50 = 1,244,809.50 : x
  2. Step 2: Convert to fraction form
    830,797.50/1,244,809.50 = 1,244,809.50/x
  3. Step 3: Cross multiply
    830,797.50x = 1,244,809.50 × 1,244,809.50
  4. Step 4: Simplify right side
    830,797.50x = 1,549,550,691,290.25
  5. Step 5: Solve for x
    x = 1,549,550,691,290.25/830,797.50
  6. Step 6: Final answer
    x = 1,865,136.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.