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Finding the Third Proportional to 310,715.25 and 680,715

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Solution

The third proportional to 310,715.25 and 680,715 is: 1,491,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,715.25 : 680,715 = 680,715 : x
  2. Step 2: Convert to fraction form
    310,715.25/680,715 = 680,715/x
  3. Step 3: Cross multiply
    310,715.25x = 680,715 × 680,715
  4. Step 4: Simplify right side
    310,715.25x = 463,372,911,225
  5. Step 5: Solve for x
    x = 463,372,911,225/310,715.25
  6. Step 6: Final answer
    x = 1,491,310.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.