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Finding the Third Proportional to 472,537.50 and 739,191

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Solution

The third proportional to 472,537.50 and 739,191 is: 1,156,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,537.50 : 739,191 = 739,191 : x
  2. Step 2: Convert to fraction form
    472,537.50/739,191 = 739,191/x
  3. Step 3: Cross multiply
    472,537.50x = 739,191 × 739,191
  4. Step 4: Simplify right side
    472,537.50x = 546,403,334,481
  5. Step 5: Solve for x
    x = 546,403,334,481/472,537.50
  6. Step 6: Final answer
    x = 1,156,317.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.