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Finding the Third Proportional to 642,235.50 and 1,000,113.75

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Solution

The third proportional to 642,235.50 and 1,000,113.75 is: 1,557,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,235.50 : 1,000,113.75 = 1,000,113.75 : x
  2. Step 2: Convert to fraction form
    642,235.50/1,000,113.75 = 1,000,113.75/x
  3. Step 3: Cross multiply
    642,235.50x = 1,000,113.75 × 1,000,113.75
  4. Step 4: Simplify right side
    642,235.50x = 1,000,227,512,939.06
  5. Step 5: Solve for x
    x = 1,000,227,512,939.06/642,235.50
  6. Step 6: Final answer
    x = 1,557,415.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.