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Finding the Third Proportional to 705,397.50 and 1,008,321.75

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Solution

The third proportional to 705,397.50 and 1,008,321.75 is: 1,441,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,397.50 : 1,008,321.75 = 1,008,321.75 : x
  2. Step 2: Convert to fraction form
    705,397.50/1,008,321.75 = 1,008,321.75/x
  3. Step 3: Cross multiply
    705,397.50x = 1,008,321.75 × 1,008,321.75
  4. Step 4: Simplify right side
    705,397.50x = 1,016,712,751,523.06
  5. Step 5: Solve for x
    x = 1,016,712,751,523.06/705,397.50
  6. Step 6: Final answer
    x = 1,441,333.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.