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Finding the Third Proportional to 334,224 and 690,588

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Solution

The third proportional to 334,224 and 690,588 is: 1,426,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,224 : 690,588 = 690,588 : x
  2. Step 2: Convert to fraction form
    334,224/690,588 = 690,588/x
  3. Step 3: Cross multiply
    334,224x = 690,588 × 690,588
  4. Step 4: Simplify right side
    334,224x = 476,911,785,744
  5. Step 5: Solve for x
    x = 476,911,785,744/334,224
  6. Step 6: Final answer
    x = 1,426,922.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.