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Finding the Third Proportional to 596,217 and 886,216.50

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Solution

The third proportional to 596,217 and 886,216.50 is: 1,317,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,217 : 886,216.50 = 886,216.50 : x
  2. Step 2: Convert to fraction form
    596,217/886,216.50 = 886,216.50/x
  3. Step 3: Cross multiply
    596,217x = 886,216.50 × 886,216.50
  4. Step 4: Simplify right side
    596,217x = 785,379,684,872.25
  5. Step 5: Solve for x
    x = 785,379,684,872.25/596,217
  6. Step 6: Final answer
    x = 1,317,271.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.