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Finding the Third Proportional to 368,467.50 and 559,348.50

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Solution

The third proportional to 368,467.50 and 559,348.50 is: 849,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,467.50 : 559,348.50 = 559,348.50 : x
  2. Step 2: Convert to fraction form
    368,467.50/559,348.50 = 559,348.50/x
  3. Step 3: Cross multiply
    368,467.50x = 559,348.50 × 559,348.50
  4. Step 4: Simplify right side
    368,467.50x = 312,870,744,452.25
  5. Step 5: Solve for x
    x = 312,870,744,452.25/368,467.50
  6. Step 6: Final answer
    x = 849,113.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.