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Finding the Third Proportional to 333,432 and 718,992

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Solution

The third proportional to 333,432 and 718,992 is: 1,550,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,432 : 718,992 = 718,992 : x
  2. Step 2: Convert to fraction form
    333,432/718,992 = 718,992/x
  3. Step 3: Cross multiply
    333,432x = 718,992 × 718,992
  4. Step 4: Simplify right side
    333,432x = 516,949,496,064
  5. Step 5: Solve for x
    x = 516,949,496,064/333,432
  6. Step 6: Final answer
    x = 1,550,389.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.