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Finding the Third Proportional to 603,297 and 843,277.50

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Solution

The third proportional to 603,297 and 843,277.50 is: 1,178,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,297 : 843,277.50 = 843,277.50 : x
  2. Step 2: Convert to fraction form
    603,297/843,277.50 = 843,277.50/x
  3. Step 3: Cross multiply
    603,297x = 843,277.50 × 843,277.50
  4. Step 4: Simplify right side
    603,297x = 711,116,942,006.25
  5. Step 5: Solve for x
    x = 711,116,942,006.25/603,297
  6. Step 6: Final answer
    x = 1,178,717.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.