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Finding the Third Proportional to 362,128 and 473,154

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Solution

The third proportional to 362,128 and 473,154 is: 618,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,128 : 473,154 = 473,154 : x
  2. Step 2: Convert to fraction form
    362,128/473,154 = 473,154/x
  3. Step 3: Cross multiply
    362,128x = 473,154 × 473,154
  4. Step 4: Simplify right side
    362,128x = 223,874,707,716
  5. Step 5: Solve for x
    x = 223,874,707,716/362,128
  6. Step 6: Final answer
    x = 618,219.82

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.