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Finding the Third Proportional to 500,719.50 and 740,074.50

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Solution

The third proportional to 500,719.50 and 740,074.50 is: 1,093,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,719.50 : 740,074.50 = 740,074.50 : x
  2. Step 2: Convert to fraction form
    500,719.50/740,074.50 = 740,074.50/x
  3. Step 3: Cross multiply
    500,719.50x = 740,074.50 × 740,074.50
  4. Step 4: Simplify right side
    500,719.50x = 547,710,265,550.25
  5. Step 5: Solve for x
    x = 547,710,265,550.25/500,719.50
  6. Step 6: Final answer
    x = 1,093,846.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.