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Finding the Third Proportional to 551,029.50 and 741,433.50

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Solution

The third proportional to 551,029.50 and 741,433.50 is: 997,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,029.50 : 741,433.50 = 741,433.50 : x
  2. Step 2: Convert to fraction form
    551,029.50/741,433.50 = 741,433.50/x
  3. Step 3: Cross multiply
    551,029.50x = 741,433.50 × 741,433.50
  4. Step 4: Simplify right side
    551,029.50x = 549,723,634,922.25
  5. Step 5: Solve for x
    x = 549,723,634,922.25/551,029.50
  6. Step 6: Final answer
    x = 997,630.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.