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Finding the Third Proportional to 467,968.88 and 684,403.31

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Solution

The third proportional to 467,968.88 and 684,403.31 is: 1,000,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,968.88 : 684,403.31 = 684,403.31 : x
  2. Step 2: Convert to fraction form
    467,968.88/684,403.31 = 684,403.31/x
  3. Step 3: Cross multiply
    467,968.88x = 684,403.31 × 684,403.31
  4. Step 4: Simplify right side
    467,968.88x = 468,407,894,160.97
  5. Step 5: Solve for x
    x = 468,407,894,160.97/467,968.88
  6. Step 6: Final answer
    x = 1,000,938.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.