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Finding the Third Proportional to 473,046.75 and 734,487.75

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Solution

The third proportional to 473,046.75 and 734,487.75 is: 1,140,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,046.75 : 734,487.75 = 734,487.75 : x
  2. Step 2: Convert to fraction form
    473,046.75/734,487.75 = 734,487.75/x
  3. Step 3: Cross multiply
    473,046.75x = 734,487.75 × 734,487.75
  4. Step 4: Simplify right side
    473,046.75x = 539,472,254,900.06
  5. Step 5: Solve for x
    x = 539,472,254,900.06/473,046.75
  6. Step 6: Final answer
    x = 1,140,420.59

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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.