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Finding the Third Proportional to 309,645 and 478,555.50

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Solution

The third proportional to 309,645 and 478,555.50 is: 739,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,645 : 478,555.50 = 478,555.50 : x
  2. Step 2: Convert to fraction form
    309,645/478,555.50 = 478,555.50/x
  3. Step 3: Cross multiply
    309,645x = 478,555.50 × 478,555.50
  4. Step 4: Simplify right side
    309,645x = 229,015,366,580.25
  5. Step 5: Solve for x
    x = 229,015,366,580.25/309,645
  6. Step 6: Final answer
    x = 739,606.22

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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.