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Finding the Third Proportional to 466,821 and 741,060

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Solution

The third proportional to 466,821 and 741,060 is: 1,176,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,821 : 741,060 = 741,060 : x
  2. Step 2: Convert to fraction form
    466,821/741,060 = 741,060/x
  3. Step 3: Cross multiply
    466,821x = 741,060 × 741,060
  4. Step 4: Simplify right side
    466,821x = 549,169,923,600
  5. Step 5: Solve for x
    x = 549,169,923,600/466,821
  6. Step 6: Final answer
    x = 1,176,403.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.