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Finding the Third Proportional to 336,099 and 520,672.50

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Solution

The third proportional to 336,099 and 520,672.50 is: 806,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,099 : 520,672.50 = 520,672.50 : x
  2. Step 2: Convert to fraction form
    336,099/520,672.50 = 520,672.50/x
  3. Step 3: Cross multiply
    336,099x = 520,672.50 × 520,672.50
  4. Step 4: Simplify right side
    336,099x = 271,099,852,256.25
  5. Step 5: Solve for x
    x = 271,099,852,256.25/336,099
  6. Step 6: Final answer
    x = 806,607.14

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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.