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Finding the Third Proportional to 332,428 and 684,458

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Solution

The third proportional to 332,428 and 684,458 is: 1,409,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,428 : 684,458 = 684,458 : x
  2. Step 2: Convert to fraction form
    332,428/684,458 = 684,458/x
  3. Step 3: Cross multiply
    332,428x = 684,458 × 684,458
  4. Step 4: Simplify right side
    332,428x = 468,482,753,764
  5. Step 5: Solve for x
    x = 468,482,753,764/332,428
  6. Step 6: Final answer
    x = 1,409,275.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.