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Finding the Third Proportional to 734,764.50 and 1,113,218.50

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Solution

The third proportional to 734,764.50 and 1,113,218.50 is: 1,686,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,764.50 : 1,113,218.50 = 1,113,218.50 : x
  2. Step 2: Convert to fraction form
    734,764.50/1,113,218.50 = 1,113,218.50/x
  3. Step 3: Cross multiply
    734,764.50x = 1,113,218.50 × 1,113,218.50
  4. Step 4: Simplify right side
    734,764.50x = 1,239,255,428,742.25
  5. Step 5: Solve for x
    x = 1,239,255,428,742.25/734,764.50
  6. Step 6: Final answer
    x = 1,686,602.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.