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Finding the Third Proportional to 474,691 and 734,764.50

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Solution

The third proportional to 474,691 and 734,764.50 is: 1,137,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,691 : 734,764.50 = 734,764.50 : x
  2. Step 2: Convert to fraction form
    474,691/734,764.50 = 734,764.50/x
  3. Step 3: Cross multiply
    474,691x = 734,764.50 × 734,764.50
  4. Step 4: Simplify right side
    474,691x = 539,878,870,460.25
  5. Step 5: Solve for x
    x = 539,878,870,460.25/474,691
  6. Step 6: Final answer
    x = 1,137,326.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.