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Finding the Third Proportional to 380,218.50 and 830,552.25

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Solution

The third proportional to 380,218.50 and 830,552.25 is: 1,814,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,218.50 : 830,552.25 = 830,552.25 : x
  2. Step 2: Convert to fraction form
    380,218.50/830,552.25 = 830,552.25/x
  3. Step 3: Cross multiply
    380,218.50x = 830,552.25 × 830,552.25
  4. Step 4: Simplify right side
    380,218.50x = 689,817,039,980.06
  5. Step 5: Solve for x
    x = 689,817,039,980.06/380,218.50
  6. Step 6: Final answer
    x = 1,814,264.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.