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Finding the Third Proportional to 344,673 and 504,994.50

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Solution

The third proportional to 344,673 and 504,994.50 is: 739,888.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,673 : 504,994.50 = 504,994.50 : x
  2. Step 2: Convert to fraction form
    344,673/504,994.50 = 504,994.50/x
  3. Step 3: Cross multiply
    344,673x = 504,994.50 × 504,994.50
  4. Step 4: Simplify right side
    344,673x = 255,019,445,030.25
  5. Step 5: Solve for x
    x = 255,019,445,030.25/344,673
  6. Step 6: Final answer
    x = 739,888.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.