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Finding the Third Proportional to 505,631.74 and 1,086,303.02

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Solution

The third proportional to 505,631.74 and 1,086,303.02 is: 2,333,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,631.74 : 1,086,303.02 = 1,086,303.02 : x
  2. Step 2: Convert to fraction form
    505,631.74/1,086,303.02 = 1,086,303.02/x
  3. Step 3: Cross multiply
    505,631.74x = 1,086,303.02 × 1,086,303.02
  4. Step 4: Simplify right side
    505,631.74x = 1,180,054,258,729.45
  5. Step 5: Solve for x
    x = 1,180,054,258,729.45/505,631.74
  6. Step 6: Final answer
    x = 2,333,821.55

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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.