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Finding the Third Proportional to 424,475 and 603,502.50

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Solution

The third proportional to 424,475 and 603,502.50 is: 858,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,475 : 603,502.50 = 603,502.50 : x
  2. Step 2: Convert to fraction form
    424,475/603,502.50 = 603,502.50/x
  3. Step 3: Cross multiply
    424,475x = 603,502.50 × 603,502.50
  4. Step 4: Simplify right side
    424,475x = 364,215,267,506.25
  5. Step 5: Solve for x
    x = 364,215,267,506.25/424,475
  6. Step 6: Final answer
    x = 858,037.03

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.