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Finding the Third Proportional to 391,410 and 606,054

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Solution

The third proportional to 391,410 and 606,054 is: 938,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,410 : 606,054 = 606,054 : x
  2. Step 2: Convert to fraction form
    391,410/606,054 = 606,054/x
  3. Step 3: Cross multiply
    391,410x = 606,054 × 606,054
  4. Step 4: Simplify right side
    391,410x = 367,301,450,916
  5. Step 5: Solve for x
    x = 367,301,450,916/391,410
  6. Step 6: Final answer
    x = 938,405.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.