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Finding the Third Proportional to 478,337.06 and 740,611.69

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Solution

The third proportional to 478,337.06 and 740,611.69 is: 1,146,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,337.06 : 740,611.69 = 740,611.69 : x
  2. Step 2: Convert to fraction form
    478,337.06/740,611.69 = 740,611.69/x
  3. Step 3: Cross multiply
    478,337.06x = 740,611.69 × 740,611.69
  4. Step 4: Simplify right side
    478,337.06x = 548,505,671,661.60
  5. Step 5: Solve for x
    x = 548,505,671,661.60/478,337.06
  6. Step 6: Final answer
    x = 1,146,692.81

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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.