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Finding the Third Proportional to 309,657.94 and 478,575.84

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Solution

The third proportional to 309,657.94 and 478,575.84 is: 739,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,657.94 : 478,575.84 = 478,575.84 : x
  2. Step 2: Convert to fraction form
    309,657.94/478,575.84 = 478,575.84/x
  3. Step 3: Cross multiply
    309,657.94x = 478,575.84 × 478,575.84
  4. Step 4: Simplify right side
    309,657.94x = 229,034,838,221.02
  5. Step 5: Solve for x
    x = 229,034,838,221.02/309,657.94
  6. Step 6: Final answer
    x = 739,638.20

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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.