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Finding the Third Proportional to 361,182 and 560,032.50

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Solution

The third proportional to 361,182 and 560,032.50 is: 868,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,182 : 560,032.50 = 560,032.50 : x
  2. Step 2: Convert to fraction form
    361,182/560,032.50 = 560,032.50/x
  3. Step 3: Cross multiply
    361,182x = 560,032.50 × 560,032.50
  4. Step 4: Simplify right side
    361,182x = 313,636,401,056.25
  5. Step 5: Solve for x
    x = 313,636,401,056.25/361,182
  6. Step 6: Final answer
    x = 868,361.11

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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.