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Finding the Third Proportional to 276,430 and 423,382

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Solution

The third proportional to 276,430 and 423,382 is: 648,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,430 : 423,382 = 423,382 : x
  2. Step 2: Convert to fraction form
    276,430/423,382 = 423,382/x
  3. Step 3: Cross multiply
    276,430x = 423,382 × 423,382
  4. Step 4: Simplify right side
    276,430x = 179,252,317,924
  5. Step 5: Solve for x
    x = 179,252,317,924/276,430
  6. Step 6: Final answer
    x = 648,454.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.