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Finding the Third Proportional to 705,588.75 and 1,059,971.63

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Solution

The third proportional to 705,588.75 and 1,059,971.63 is: 1,592,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,588.75 : 1,059,971.63 = 1,059,971.63 : x
  2. Step 2: Convert to fraction form
    705,588.75/1,059,971.63 = 1,059,971.63/x
  3. Step 3: Cross multiply
    705,588.75x = 1,059,971.63 × 1,059,971.63
  4. Step 4: Simplify right side
    705,588.75x = 1,123,539,845,805.14
  5. Step 5: Solve for x
    x = 1,123,539,845,805.14/705,588.75
  6. Step 6: Final answer
    x = 1,592,343.76

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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.